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Finding the Fourth Proportional to 38,509.80, 57,660.39 and 20,002.92

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Solution

The fourth proportional to 38,509.80, 57,660.39 and 20,002.92 is: 29,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.80 : 57,660.39 = 20,002.92 : x
  2. Step 2: Convert to fraction form
    38,509.80/57,660.39 = 20,002.92/x
  3. Step 3: Cross multiply
    38,509.80x = 57,660.39 × 20,002.92
  4. Step 4: Simplify right side
    38,509.80x = 1,153,376,168.34
  5. Step 5: Solve for x
    x = 1,153,376,168.34/38,509.80
  6. Step 6: Final answer
    x = 29,950.20

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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.