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Finding the Fourth Proportional to 83,624.22, 115,404.92 and 47,814.22

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Solution

The fourth proportional to 83,624.22, 115,404.92 and 47,814.22 is: 65,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,624.22 : 115,404.92 = 47,814.22 : x
  2. Step 2: Convert to fraction form
    83,624.22/115,404.92 = 47,814.22/x
  3. Step 3: Cross multiply
    83,624.22x = 115,404.92 × 47,814.22
  4. Step 4: Simplify right side
    83,624.22x = 5,517,996,233.96
  5. Step 5: Solve for x
    x = 5,517,996,233.96/83,624.22
  6. Step 6: Final answer
    x = 65,985.62

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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.