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Finding the Fourth Proportional to 83,282.59, 114,932.69 and 45,556.84

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Solution

The fourth proportional to 83,282.59, 114,932.69 and 45,556.84 is: 62,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,282.59 : 114,932.69 = 45,556.84 : x
  2. Step 2: Convert to fraction form
    83,282.59/114,932.69 = 45,556.84/x
  3. Step 3: Cross multiply
    83,282.59x = 114,932.69 × 45,556.84
  4. Step 4: Simplify right side
    83,282.59x = 5,235,970,169.10
  5. Step 5: Solve for x
    x = 5,235,970,169.10/83,282.59
  6. Step 6: Final answer
    x = 62,869.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.