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Finding the Fourth Proportional to 99,694.82, 137,575.05 and 54,982.82

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Solution

The fourth proportional to 99,694.82, 137,575.05 and 54,982.82 is: 75,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,694.82 : 137,575.05 = 54,982.82 : x
  2. Step 2: Convert to fraction form
    99,694.82/137,575.05 = 54,982.82/x
  3. Step 3: Cross multiply
    99,694.82x = 137,575.05 × 54,982.82
  4. Step 4: Simplify right side
    99,694.82x = 7,564,264,210.64
  5. Step 5: Solve for x
    x = 7,564,264,210.64/99,694.82
  6. Step 6: Final answer
    x = 75,874.19

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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.