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Finding the Fourth Proportional to 99,841.49, 137,782.39 and 54,520.02

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Solution

The fourth proportional to 99,841.49, 137,782.39 and 54,520.02 is: 75,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,841.49 : 137,782.39 = 54,520.02 : x
  2. Step 2: Convert to fraction form
    99,841.49/137,782.39 = 54,520.02/x
  3. Step 3: Cross multiply
    99,841.49x = 137,782.39 × 54,520.02
  4. Step 4: Simplify right side
    99,841.49x = 7,511,898,777.71
  5. Step 5: Solve for x
    x = 7,511,898,777.71/99,841.49
  6. Step 6: Final answer
    x = 75,238.24

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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.