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Finding the Fourth Proportional to 83,081, 114,652.26 and 45,355.64

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Solution

The fourth proportional to 83,081, 114,652.26 and 45,355.64 is: 62,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,081 : 114,652.26 = 45,355.64 : x
  2. Step 2: Convert to fraction form
    83,081/114,652.26 = 45,355.64/x
  3. Step 3: Cross multiply
    83,081x = 114,652.26 × 45,355.64
  4. Step 4: Simplify right side
    83,081x = 5,200,126,629.75
  5. Step 5: Solve for x
    x = 5,200,126,629.75/83,081
  6. Step 6: Final answer
    x = 62,591.05

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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.