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Finding the Fourth Proportional to 57,037.98, 78,709.20 and 31,542.84

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Solution

The fourth proportional to 57,037.98, 78,709.20 and 31,542.84 is: 43,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,037.98 : 78,709.20 = 31,542.84 : x
  2. Step 2: Convert to fraction form
    57,037.98/78,709.20 = 31,542.84/x
  3. Step 3: Cross multiply
    57,037.98x = 78,709.20 × 31,542.84
  4. Step 4: Simplify right side
    57,037.98x = 2,482,711,702.13
  5. Step 5: Solve for x
    x = 2,482,711,702.13/57,037.98
  6. Step 6: Final answer
    x = 43,527.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.