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Finding the Fourth Proportional to 57,047.65, 78,724.38 and 31,553.35

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Solution

The fourth proportional to 57,047.65, 78,724.38 and 31,553.35 is: 43,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,047.65 : 78,724.38 = 31,553.35 : x
  2. Step 2: Convert to fraction form
    57,047.65/78,724.38 = 31,553.35/x
  3. Step 3: Cross multiply
    57,047.65x = 78,724.38 × 31,553.35
  4. Step 4: Simplify right side
    57,047.65x = 2,484,017,915.67
  5. Step 5: Solve for x
    x = 2,484,017,915.67/57,047.65
  6. Step 6: Final answer
    x = 43,542.86

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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.