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Finding the Fourth Proportional to 71,533,987.20, 107,314,977.60 and 30,593,347.20

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Solution

The fourth proportional to 71,533,987.20, 107,314,977.60 and 30,593,347.20 is: 45,896,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,533,987.20 : 107,314,977.60 = 30,593,347.20 : x
  2. Step 2: Convert to fraction form
    71,533,987.20/107,314,977.60 = 30,593,347.20/x
  3. Step 3: Cross multiply
    71,533,987.20x = 107,314,977.60 × 30,593,347.20
  4. Step 4: Simplify right side
    71,533,987.20x = 3,283,124,369,477,022.50
  5. Step 5: Solve for x
    x = 3,283,124,369,477,022.50/71,533,987.20
  6. Step 6: Final answer
    x = 45,896,006.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.