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Finding the Fourth Proportional to 54,902.88, 75,765.92 and 29,752.38

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Solution

The fourth proportional to 54,902.88, 75,765.92 and 29,752.38 is: 41,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902.88 : 75,765.92 = 29,752.38 : x
  2. Step 2: Convert to fraction form
    54,902.88/75,765.92 = 29,752.38/x
  3. Step 3: Cross multiply
    54,902.88x = 75,765.92 × 29,752.38
  4. Step 4: Simplify right side
    54,902.88x = 2,254,216,294.13
  5. Step 5: Solve for x
    x = 2,254,216,294.13/54,902.88
  6. Step 6: Final answer
    x = 41,058.25

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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.