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Finding the Fourth Proportional to 81,642.38, 112,660.27 and 45,825.40

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Solution

The fourth proportional to 81,642.38, 112,660.27 and 45,825.40 is: 63,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,642.38 : 112,660.27 = 45,825.40 : x
  2. Step 2: Convert to fraction form
    81,642.38/112,660.27 = 45,825.40/x
  3. Step 3: Cross multiply
    81,642.38x = 112,660.27 × 45,825.40
  4. Step 4: Simplify right side
    81,642.38x = 5,162,701,329.41
  5. Step 5: Solve for x
    x = 5,162,701,329.41/81,642.38
  6. Step 6: Final answer
    x = 63,235.56

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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.