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Finding the Fourth Proportional to 83,568.56, 115,329.84 and 45,842.88

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Solution

The fourth proportional to 83,568.56, 115,329.84 and 45,842.88 is: 63,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568.56 : 115,329.84 = 45,842.88 : x
  2. Step 2: Convert to fraction form
    83,568.56/115,329.84 = 45,842.88/x
  3. Step 3: Cross multiply
    83,568.56x = 115,329.84 × 45,842.88
  4. Step 4: Simplify right side
    83,568.56x = 5,287,052,015.54
  5. Step 5: Solve for x
    x = 5,287,052,015.54/83,568.56
  6. Step 6: Final answer
    x = 63,266.04

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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.