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Finding the Fourth Proportional to 99,842.50, 137,782.89 and 54,520.57

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Solution

The fourth proportional to 99,842.50, 137,782.89 and 54,520.57 is: 75,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842.50 : 137,782.89 = 54,520.57 : x
  2. Step 2: Convert to fraction form
    99,842.50/137,782.89 = 54,520.57/x
  3. Step 3: Cross multiply
    99,842.50x = 137,782.89 × 54,520.57
  4. Step 4: Simplify right side
    99,842.50x = 7,512,001,562.75
  5. Step 5: Solve for x
    x = 7,512,001,562.75/99,842.50
  6. Step 6: Final answer
    x = 75,238.52

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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.