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Finding the Fourth Proportional to 31,458.73, 47,184.50 and 13,685.71

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Solution

The fourth proportional to 31,458.73, 47,184.50 and 13,685.71 is: 20,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.73 : 47,184.50 = 13,685.71 : x
  2. Step 2: Convert to fraction form
    31,458.73/47,184.50 = 13,685.71/x
  3. Step 3: Cross multiply
    31,458.73x = 47,184.50 × 13,685.71
  4. Step 4: Simplify right side
    31,458.73x = 645,753,315.07
  5. Step 5: Solve for x
    x = 645,753,315.07/31,458.73
  6. Step 6: Final answer
    x = 20,527.00

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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.