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Finding the Fourth Proportional to 83,305.38, 114,961.08 and 45,064.92

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Solution

The fourth proportional to 83,305.38, 114,961.08 and 45,064.92 is: 62,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,305.38 : 114,961.08 = 45,064.92 : x
  2. Step 2: Convert to fraction form
    83,305.38/114,961.08 = 45,064.92/x
  3. Step 3: Cross multiply
    83,305.38x = 114,961.08 × 45,064.92
  4. Step 4: Simplify right side
    83,305.38x = 5,180,711,873.31
  5. Step 5: Solve for x
    x = 5,180,711,873.31/83,305.38
  6. Step 6: Final answer
    x = 62,189.40

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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.