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Finding the Fourth Proportional to 71,752.68, 107,588.52 and 34,321.77

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Solution

The fourth proportional to 71,752.68, 107,588.52 and 34,321.77 is: 51,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.68 : 107,588.52 = 34,321.77 : x
  2. Step 2: Convert to fraction form
    71,752.68/107,588.52 = 34,321.77/x
  3. Step 3: Cross multiply
    71,752.68x = 107,588.52 × 34,321.77
  4. Step 4: Simplify right side
    71,752.68x = 3,692,628,438.08
  5. Step 5: Solve for x
    x = 3,692,628,438.08/71,752.68
  6. Step 6: Final answer
    x = 51,463.28

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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.