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Finding the Fourth Proportional to 57,645.42, 86,470.78 and 17,661.54

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Solution

The fourth proportional to 57,645.42, 86,470.78 and 17,661.54 is: 26,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645.42 : 86,470.78 = 17,661.54 : x
  2. Step 2: Convert to fraction form
    57,645.42/86,470.78 = 17,661.54/x
  3. Step 3: Cross multiply
    57,645.42x = 86,470.78 × 17,661.54
  4. Step 4: Simplify right side
    57,645.42x = 1,527,207,139.80
  5. Step 5: Solve for x
    x = 1,527,207,139.80/57,645.42
  6. Step 6: Final answer
    x = 26,493.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.