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Finding the Fourth Proportional to 31,658.38, 47,473.74 and 15,023.17

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Solution

The fourth proportional to 31,658.38, 47,473.74 and 15,023.17 is: 22,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.38 : 47,473.74 = 15,023.17 : x
  2. Step 2: Convert to fraction form
    31,658.38/47,473.74 = 15,023.17/x
  3. Step 3: Cross multiply
    31,658.38x = 47,473.74 × 15,023.17
  4. Step 4: Simplify right side
    31,658.38x = 713,206,066.56
  5. Step 5: Solve for x
    x = 713,206,066.56/31,658.38
  6. Step 6: Final answer
    x = 22,528.19

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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.