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Finding the Fourth Proportional to 41,046.54, 61,569.84 and 9,881.80

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Solution

The fourth proportional to 41,046.54, 61,569.84 and 9,881.80 is: 14,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,046.54 : 61,569.84 = 9,881.80 : x
  2. Step 2: Convert to fraction form
    41,046.54/61,569.84 = 9,881.80/x
  3. Step 3: Cross multiply
    41,046.54x = 61,569.84 × 9,881.80
  4. Step 4: Simplify right side
    41,046.54x = 608,420,844.91
  5. Step 5: Solve for x
    x = 608,420,844.91/41,046.54
  6. Step 6: Final answer
    x = 14,822.71

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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.