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Finding the Fourth Proportional to 83,268.80, 114,913.68 and 45,543.05

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Solution

The fourth proportional to 83,268.80, 114,913.68 and 45,543.05 is: 62,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,268.80 : 114,913.68 = 45,543.05 : x
  2. Step 2: Convert to fraction form
    83,268.80/114,913.68 = 45,543.05/x
  3. Step 3: Cross multiply
    83,268.80x = 114,913.68 × 45,543.05
  4. Step 4: Simplify right side
    83,268.80x = 5,233,519,473.92
  5. Step 5: Solve for x
    x = 5,233,519,473.92/83,268.80
  6. Step 6: Final answer
    x = 62,850.91

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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.