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Finding the Fourth Proportional to 71,489.64, 98,669.70 and 41,294.46

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Solution

The fourth proportional to 71,489.64, 98,669.70 and 41,294.46 is: 56,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,489.64 : 98,669.70 = 41,294.46 : x
  2. Step 2: Convert to fraction form
    71,489.64/98,669.70 = 41,294.46/x
  3. Step 3: Cross multiply
    71,489.64x = 98,669.70 × 41,294.46
  4. Step 4: Simplify right side
    71,489.64x = 4,074,511,979.86
  5. Step 5: Solve for x
    x = 4,074,511,979.86/71,489.64
  6. Step 6: Final answer
    x = 56,994.44

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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.