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Finding the Fourth Proportional to 61,831.46, 92,745.84 and 15,084.20

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Solution

The fourth proportional to 61,831.46, 92,745.84 and 15,084.20 is: 22,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,831.46 : 92,745.84 = 15,084.20 : x
  2. Step 2: Convert to fraction form
    61,831.46/92,745.84 = 15,084.20/x
  3. Step 3: Cross multiply
    61,831.46x = 92,745.84 × 15,084.20
  4. Step 4: Simplify right side
    61,831.46x = 1,398,996,799.73
  5. Step 5: Solve for x
    x = 1,398,996,799.73/61,831.46
  6. Step 6: Final answer
    x = 22,625.97

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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.