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Finding the Fourth Proportional to 83,132.28, 114,719.22 and 45,407.88

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Solution

The fourth proportional to 83,132.28, 114,719.22 and 45,407.88 is: 62,661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132.28 : 114,719.22 = 45,407.88 : x
  2. Step 2: Convert to fraction form
    83,132.28/114,719.22 = 45,407.88/x
  3. Step 3: Cross multiply
    83,132.28x = 114,719.22 × 45,407.88
  4. Step 4: Simplify right side
    83,132.28x = 5,209,156,575.45
  5. Step 5: Solve for x
    x = 5,209,156,575.45/83,132.28
  6. Step 6: Final answer
    x = 62,661.06

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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.