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Finding the Fourth Proportional to 83,462.74, 115,177.33 and 45,221.22

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Solution

The fourth proportional to 83,462.74, 115,177.33 and 45,221.22 is: 62,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462.74 : 115,177.33 = 45,221.22 : x
  2. Step 2: Convert to fraction form
    83,462.74/115,177.33 = 45,221.22/x
  3. Step 3: Cross multiply
    83,462.74x = 115,177.33 × 45,221.22
  4. Step 4: Simplify right side
    83,462.74x = 5,208,459,378.94
  5. Step 5: Solve for x
    x = 5,208,459,378.94/83,462.74
  6. Step 6: Final answer
    x = 62,404.61

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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.