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Finding the Fourth Proportional to 47,874.92, 71,876.00 and 40,899.76

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Solution

The fourth proportional to 47,874.92, 71,876.00 and 40,899.76 is: 61,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.92 : 71,876.00 = 40,899.76 : x
  2. Step 2: Convert to fraction form
    47,874.92/71,876.00 = 40,899.76/x
  3. Step 3: Cross multiply
    47,874.92x = 71,876.00 × 40,899.76
  4. Step 4: Simplify right side
    47,874.92x = 2,939,711,072.32
  5. Step 5: Solve for x
    x = 2,939,711,072.32/47,874.92
  6. Step 6: Final answer
    x = 61,404.00

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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.