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Finding the Fourth Proportional to 99,956.12, 137,934.78 and 54,636.44

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Solution

The fourth proportional to 99,956.12, 137,934.78 and 54,636.44 is: 75,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,956.12 : 137,934.78 = 54,636.44 : x
  2. Step 2: Convert to fraction form
    99,956.12/137,934.78 = 54,636.44/x
  3. Step 3: Cross multiply
    99,956.12x = 137,934.78 × 54,636.44
  4. Step 4: Simplify right side
    99,956.12x = 7,536,265,331.38
  5. Step 5: Solve for x
    x = 7,536,265,331.38/99,956.12
  6. Step 6: Final answer
    x = 75,395.74

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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.