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Finding the Fourth Proportional to 83,797.40, 115,642.69 and 45,559.52

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Solution

The fourth proportional to 83,797.40, 115,642.69 and 45,559.52 is: 62,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,797.40 : 115,642.69 = 45,559.52 : x
  2. Step 2: Convert to fraction form
    83,797.40/115,642.69 = 45,559.52/x
  3. Step 3: Cross multiply
    83,797.40x = 115,642.69 × 45,559.52
  4. Step 4: Simplify right side
    83,797.40x = 5,268,625,447.91
  5. Step 5: Solve for x
    x = 5,268,625,447.91/83,797.40
  6. Step 6: Final answer
    x = 62,873.38

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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.