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Finding the Fourth Proportional to 83,568.63, 115,324.73 and 45,842.88

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Solution

The fourth proportional to 83,568.63, 115,324.73 and 45,842.88 is: 63,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,568.63 : 115,324.73 = 45,842.88 : x
  2. Step 2: Convert to fraction form
    83,568.63/115,324.73 = 45,842.88/x
  3. Step 3: Cross multiply
    83,568.63x = 115,324.73 × 45,842.88
  4. Step 4: Simplify right side
    83,568.63x = 5,286,817,758.42
  5. Step 5: Solve for x
    x = 5,286,817,758.42/83,568.63
  6. Step 6: Final answer
    x = 63,263.19

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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.