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Finding the Fourth Proportional to 71,709.60, 107,564.40 and 51,895.20

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Solution

The fourth proportional to 71,709.60, 107,564.40 and 51,895.20 is: 77,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.60 : 107,564.40 = 51,895.20 : x
  2. Step 2: Convert to fraction form
    71,709.60/107,564.40 = 51,895.20/x
  3. Step 3: Cross multiply
    71,709.60x = 107,564.40 × 51,895.20
  4. Step 4: Simplify right side
    71,709.60x = 5,582,076,050.88
  5. Step 5: Solve for x
    x = 5,582,076,050.88/71,709.60
  6. Step 6: Final answer
    x = 77,842.80

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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.