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Finding the Fourth Proportional to 100,387.38, 138,536.28 and 55,069.50

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Solution

The fourth proportional to 100,387.38, 138,536.28 and 55,069.50 is: 75,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,387.38 : 138,536.28 = 55,069.50 : x
  2. Step 2: Convert to fraction form
    100,387.38/138,536.28 = 55,069.50/x
  3. Step 3: Cross multiply
    100,387.38x = 138,536.28 × 55,069.50
  4. Step 4: Simplify right side
    100,387.38x = 7,629,123,671.46
  5. Step 5: Solve for x
    x = 7,629,123,671.46/100,387.38
  6. Step 6: Final answer
    x = 75,996.84

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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.