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Finding the Fourth Proportional to 54,898, 75,759.33 and 29,747.50

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Solution

The fourth proportional to 54,898, 75,759.33 and 29,747.50 is: 41,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,898 : 75,759.33 = 29,747.50 : x
  2. Step 2: Convert to fraction form
    54,898/75,759.33 = 29,747.50/x
  3. Step 3: Cross multiply
    54,898x = 75,759.33 × 29,747.50
  4. Step 4: Simplify right side
    54,898x = 2,253,650,669.18
  5. Step 5: Solve for x
    x = 2,253,650,669.18/54,898
  6. Step 6: Final answer
    x = 41,051.60

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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.