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Finding the Fourth Proportional to 57,813.88, 86,735.75 and 17,831.96

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Solution

The fourth proportional to 57,813.88, 86,735.75 and 17,831.96 is: 26,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,813.88 : 86,735.75 = 17,831.96 : x
  2. Step 2: Convert to fraction form
    57,813.88/86,735.75 = 17,831.96/x
  3. Step 3: Cross multiply
    57,813.88x = 86,735.75 × 17,831.96
  4. Step 4: Simplify right side
    57,813.88x = 1,546,668,470.93
  5. Step 5: Solve for x
    x = 1,546,668,470.93/57,813.88
  6. Step 6: Final answer
    x = 26,752.54

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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.