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Finding the Fourth Proportional to 71,398.10, 107,097.15 and 54,809.30

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Solution

The fourth proportional to 71,398.10, 107,097.15 and 54,809.30 is: 82,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,398.10 : 107,097.15 = 54,809.30 : x
  2. Step 2: Convert to fraction form
    71,398.10/107,097.15 = 54,809.30/x
  3. Step 3: Cross multiply
    71,398.10x = 107,097.15 × 54,809.30
  4. Step 4: Simplify right side
    71,398.10x = 5,869,919,823.50
  5. Step 5: Solve for x
    x = 5,869,919,823.50/71,398.10
  6. Step 6: Final answer
    x = 82,213.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.