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Finding the Fourth Proportional to 61,257.74, 91,831.13 and 42,546.61

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Solution

The fourth proportional to 61,257.74, 91,831.13 and 42,546.61 is: 63,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,257.74 : 91,831.13 = 42,546.61 : x
  2. Step 2: Convert to fraction form
    61,257.74/91,831.13 = 42,546.61/x
  3. Step 3: Cross multiply
    61,257.74x = 91,831.13 × 42,546.61
  4. Step 4: Simplify right side
    61,257.74x = 3,907,103,273.97
  5. Step 5: Solve for x
    x = 3,907,103,273.97/61,257.74
  6. Step 6: Final answer
    x = 63,781.38

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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.