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Finding the Fourth Proportional to 34,609.28, 47,711.04 and 24,656

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Solution

The fourth proportional to 34,609.28, 47,711.04 and 24,656 is: 33,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,609.28 : 47,711.04 = 24,656 : x
  2. Step 2: Convert to fraction form
    34,609.28/47,711.04 = 24,656/x
  3. Step 3: Cross multiply
    34,609.28x = 47,711.04 × 24,656
  4. Step 4: Simplify right side
    34,609.28x = 1,176,363,402.24
  5. Step 5: Solve for x
    x = 1,176,363,402.24/34,609.28
  6. Step 6: Final answer
    x = 33,989.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.