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Finding the Fourth Proportional to 31,715.72, 47,574 and 15,077.42

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Solution

The fourth proportional to 31,715.72, 47,574 and 15,077.42 is: 22,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715.72 : 47,574 = 15,077.42 : x
  2. Step 2: Convert to fraction form
    31,715.72/47,574 = 15,077.42/x
  3. Step 3: Cross multiply
    31,715.72x = 47,574 × 15,077.42
  4. Step 4: Simplify right side
    31,715.72x = 717,293,179.08
  5. Step 5: Solve for x
    x = 717,293,179.08/31,715.72
  6. Step 6: Final answer
    x = 22,616.33

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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.