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Finding the Fourth Proportional to 54,894.33, 75,752.15 and 29,743.29

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Solution

The fourth proportional to 54,894.33, 75,752.15 and 29,743.29 is: 41,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,894.33 : 75,752.15 = 29,743.29 : x
  2. Step 2: Convert to fraction form
    54,894.33/75,752.15 = 29,743.29/x
  3. Step 3: Cross multiply
    54,894.33x = 75,752.15 × 29,743.29
  4. Step 4: Simplify right side
    54,894.33x = 2,253,118,016.86
  5. Step 5: Solve for x
    x = 2,253,118,016.86/54,894.33
  6. Step 6: Final answer
    x = 41,044.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.