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Finding the Fourth Proportional to 38,200.65, 57,299.71 and 15,710.55

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Solution

The fourth proportional to 38,200.65, 57,299.71 and 15,710.55 is: 23,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.65 : 57,299.71 = 15,710.55 : x
  2. Step 2: Convert to fraction form
    38,200.65/57,299.71 = 15,710.55/x
  3. Step 3: Cross multiply
    38,200.65x = 57,299.71 × 15,710.55
  4. Step 4: Simplify right side
    38,200.65x = 900,209,958.94
  5. Step 5: Solve for x
    x = 900,209,958.94/38,200.65
  6. Step 6: Final answer
    x = 23,565.30

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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.