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Finding the Fourth Proportional to 95,102.84, 142,728.80 and 41,831.84

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Solution

The fourth proportional to 95,102.84, 142,728.80 and 41,831.84 is: 62,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,102.84 : 142,728.80 = 41,831.84 : x
  2. Step 2: Convert to fraction form
    95,102.84/142,728.80 = 41,831.84/x
  3. Step 3: Cross multiply
    95,102.84x = 142,728.80 × 41,831.84
  4. Step 4: Simplify right side
    95,102.84x = 5,970,608,324.99
  5. Step 5: Solve for x
    x = 5,970,608,324.99/95,102.84
  6. Step 6: Final answer
    x = 62,780.55

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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.