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Finding the Fourth Proportional to 47,925.92, 71,882.28 and 12,866

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Solution

The fourth proportional to 47,925.92, 71,882.28 and 12,866 is: 19,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,925.92 : 71,882.28 = 12,866 : x
  2. Step 2: Convert to fraction form
    47,925.92/71,882.28 = 12,866/x
  3. Step 3: Cross multiply
    47,925.92x = 71,882.28 × 12,866
  4. Step 4: Simplify right side
    47,925.92x = 924,837,414.48
  5. Step 5: Solve for x
    x = 924,837,414.48/47,925.92
  6. Step 6: Final answer
    x = 19,297.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.