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Finding the Fourth Proportional to 83,402.14, 115,103.17 and 47,597.54

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Solution

The fourth proportional to 83,402.14, 115,103.17 and 47,597.54 is: 65,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,402.14 : 115,103.17 = 47,597.54 : x
  2. Step 2: Convert to fraction form
    83,402.14/115,103.17 = 47,597.54/x
  3. Step 3: Cross multiply
    83,402.14x = 115,103.17 × 47,597.54
  4. Step 4: Simplify right side
    83,402.14x = 5,478,627,738.20
  5. Step 5: Solve for x
    x = 5,478,627,738.20/83,402.14
  6. Step 6: Final answer
    x = 65,689.29

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1.5x scale

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.