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Finding the Fourth Proportional to 100,006.62, 138,008.79 and 55,294.62

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Solution

The fourth proportional to 100,006.62, 138,008.79 and 55,294.62 is: 76,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006.62 : 138,008.79 = 55,294.62 : x
  2. Step 2: Convert to fraction form
    100,006.62/138,008.79 = 55,294.62/x
  3. Step 3: Cross multiply
    100,006.62x = 138,008.79 × 55,294.62
  4. Step 4: Simplify right side
    100,006.62x = 7,631,143,599.71
  5. Step 5: Solve for x
    x = 7,631,143,599.71/100,006.62
  6. Step 6: Final answer
    x = 76,306.38

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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.