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Finding the Fourth Proportional to 57,755.40, 86,641.82 and 24,475.60

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Solution

The fourth proportional to 57,755.40, 86,641.82 and 24,475.60 is: 36,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,755.40 : 86,641.82 = 24,475.60 : x
  2. Step 2: Convert to fraction form
    57,755.40/86,641.82 = 24,475.60/x
  3. Step 3: Cross multiply
    57,755.40x = 86,641.82 × 24,475.60
  4. Step 4: Simplify right side
    57,755.40x = 2,120,610,529.59
  5. Step 5: Solve for x
    x = 2,120,610,529.59/57,755.40
  6. Step 6: Final answer
    x = 36,717.10

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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.