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Finding the Fourth Proportional to 99,976.54, 137,967.91 and 54,655.07

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Solution

The fourth proportional to 99,976.54, 137,967.91 and 54,655.07 is: 75,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,976.54 : 137,967.91 = 54,655.07 : x
  2. Step 2: Convert to fraction form
    99,976.54/137,967.91 = 54,655.07/x
  3. Step 3: Cross multiply
    99,976.54x = 137,967.91 × 54,655.07
  4. Step 4: Simplify right side
    99,976.54x = 7,540,645,778.80
  5. Step 5: Solve for x
    x = 7,540,645,778.80/99,976.54
  6. Step 6: Final answer
    x = 75,424.15

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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.