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Finding the Fourth Proportional to 100,599.38, 138,826.40 and 54,658.62

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Solution

The fourth proportional to 100,599.38, 138,826.40 and 54,658.62 is: 75,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,599.38 : 138,826.40 = 54,658.62 : x
  2. Step 2: Convert to fraction form
    100,599.38/138,826.40 = 54,658.62/x
  3. Step 3: Cross multiply
    100,599.38x = 138,826.40 × 54,658.62
  4. Step 4: Simplify right side
    100,599.38x = 7,588,059,443.57
  5. Step 5: Solve for x
    x = 7,588,059,443.57/100,599.38
  6. Step 6: Final answer
    x = 75,428.49

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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.