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Finding the Fourth Proportional to 83,064.54, 114,625.08 and 47,251.20

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Solution

The fourth proportional to 83,064.54, 114,625.08 and 47,251.20 is: 65,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,064.54 : 114,625.08 = 47,251.20 : x
  2. Step 2: Convert to fraction form
    83,064.54/114,625.08 = 47,251.20/x
  3. Step 3: Cross multiply
    83,064.54x = 114,625.08 × 47,251.20
  4. Step 4: Simplify right side
    83,064.54x = 5,416,172,580.10
  5. Step 5: Solve for x
    x = 5,416,172,580.10/83,064.54
  6. Step 6: Final answer
    x = 65,204.39

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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.