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Finding the Fourth Proportional to 71,978.10, 107,967.15 and 47,046.30

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Solution

The fourth proportional to 71,978.10, 107,967.15 and 47,046.30 is: 70,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,978.10 : 107,967.15 = 47,046.30 : x
  2. Step 2: Convert to fraction form
    71,978.10/107,967.15 = 47,046.30/x
  3. Step 3: Cross multiply
    71,978.10x = 107,967.15 × 47,046.30
  4. Step 4: Simplify right side
    71,978.10x = 5,079,454,929.05
  5. Step 5: Solve for x
    x = 5,079,454,929.05/71,978.10
  6. Step 6: Final answer
    x = 70,569.45

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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.