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Finding the Fourth Proportional to 83,286.58, 114,935.12 and 45,046.17

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Solution

The fourth proportional to 83,286.58, 114,935.12 and 45,046.17 is: 62,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286.58 : 114,935.12 = 45,046.17 : x
  2. Step 2: Convert to fraction form
    83,286.58/114,935.12 = 45,046.17/x
  3. Step 3: Cross multiply
    83,286.58x = 114,935.12 × 45,046.17
  4. Step 4: Simplify right side
    83,286.58x = 5,177,386,779.77
  5. Step 5: Solve for x
    x = 5,177,386,779.77/83,286.58
  6. Step 6: Final answer
    x = 62,163.52

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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.