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Finding the Fourth Proportional to 38,502.70, 57,644.70 and 29,681.80

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Solution

The fourth proportional to 38,502.70, 57,644.70 and 29,681.80 is: 44,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.70 : 57,644.70 = 29,681.80 : x
  2. Step 2: Convert to fraction form
    38,502.70/57,644.70 = 29,681.80/x
  3. Step 3: Cross multiply
    38,502.70x = 57,644.70 × 29,681.80
  4. Step 4: Simplify right side
    38,502.70x = 1,710,998,456.46
  5. Step 5: Solve for x
    x = 1,710,998,456.46/38,502.70
  6. Step 6: Final answer
    x = 44,438.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.