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Finding the Fourth Proportional to 31,806.46, 47,637.02 and 15,178.17

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Solution

The fourth proportional to 31,806.46, 47,637.02 and 15,178.17 is: 22,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.46 : 47,637.02 = 15,178.17 : x
  2. Step 2: Convert to fraction form
    31,806.46/47,637.02 = 15,178.17/x
  3. Step 3: Cross multiply
    31,806.46x = 47,637.02 × 15,178.17
  4. Step 4: Simplify right side
    31,806.46x = 723,042,679.56
  5. Step 5: Solve for x
    x = 723,042,679.56/31,806.46
  6. Step 6: Final answer
    x = 22,732.58

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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.