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Finding the Fourth Proportional to 81,986.72, 122,984.50 and 25,831.24

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Solution

The fourth proportional to 81,986.72, 122,984.50 and 25,831.24 is: 38,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,986.72 : 122,984.50 = 25,831.24 : x
  2. Step 2: Convert to fraction form
    81,986.72/122,984.50 = 25,831.24/x
  3. Step 3: Cross multiply
    81,986.72x = 122,984.50 × 25,831.24
  4. Step 4: Simplify right side
    81,986.72x = 3,176,842,135.78
  5. Step 5: Solve for x
    x = 3,176,842,135.78/81,986.72
  6. Step 6: Final answer
    x = 38,748.25

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