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Finding the Fourth Proportional to 41,294.55, 61,929.66 and 11,714.97

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Solution

The fourth proportional to 41,294.55, 61,929.66 and 11,714.97 is: 17,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,294.55 : 61,929.66 = 11,714.97 : x
  2. Step 2: Convert to fraction form
    41,294.55/61,929.66 = 11,714.97/x
  3. Step 3: Cross multiply
    41,294.55x = 61,929.66 × 11,714.97
  4. Step 4: Simplify right side
    41,294.55x = 725,504,109.01
  5. Step 5: Solve for x
    x = 725,504,109.01/41,294.55
  6. Step 6: Final answer
    x = 17,569.00

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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.