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Finding the Fourth Proportional to 83,011, 114,555.52 and 45,286.04

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Solution

The fourth proportional to 83,011, 114,555.52 and 45,286.04 is: 62,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,011 : 114,555.52 = 45,286.04 : x
  2. Step 2: Convert to fraction form
    83,011/114,555.52 = 45,286.04/x
  3. Step 3: Cross multiply
    83,011x = 114,555.52 × 45,286.04
  4. Step 4: Simplify right side
    83,011x = 5,187,765,860.94
  5. Step 5: Solve for x
    x = 5,187,765,860.94/83,011
  6. Step 6: Final answer
    x = 62,494.92

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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.