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Finding the Fourth Proportional to 99,642.48, 137,502.36 and 54,319.38

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Solution

The fourth proportional to 99,642.48, 137,502.36 and 54,319.38 is: 74,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,642.48 : 137,502.36 = 54,319.38 : x
  2. Step 2: Convert to fraction form
    99,642.48/137,502.36 = 54,319.38/x
  3. Step 3: Cross multiply
    99,642.48x = 137,502.36 × 54,319.38
  4. Step 4: Simplify right side
    99,642.48x = 7,469,042,943.74
  5. Step 5: Solve for x
    x = 7,469,042,943.74/99,642.48
  6. Step 6: Final answer
    x = 74,958.42

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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.