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Finding the Fourth Proportional to 41,042.66, 61,564 and 9,877.91

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Solution

The fourth proportional to 41,042.66, 61,564 and 9,877.91 is: 14,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,042.66 : 61,564 = 9,877.91 : x
  2. Step 2: Convert to fraction form
    41,042.66/61,564 = 9,877.91/x
  3. Step 3: Cross multiply
    41,042.66x = 61,564 × 9,877.91
  4. Step 4: Simplify right side
    41,042.66x = 608,123,651.24
  5. Step 5: Solve for x
    x = 608,123,651.24/41,042.66
  6. Step 6: Final answer
    x = 14,816.87

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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.