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Finding the Fourth Proportional to 83,207.89, 114,813.48 and 47,398.60

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Solution

The fourth proportional to 83,207.89, 114,813.48 and 47,398.60 is: 65,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.89 : 114,813.48 = 47,398.60 : x
  2. Step 2: Convert to fraction form
    83,207.89/114,813.48 = 47,398.60/x
  3. Step 3: Cross multiply
    83,207.89x = 114,813.48 × 47,398.60
  4. Step 4: Simplify right side
    83,207.89x = 5,441,998,213.13
  5. Step 5: Solve for x
    x = 5,441,998,213.13/83,207.89
  6. Step 6: Final answer
    x = 65,402.43

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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.