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Finding the Fourth Proportional to 122,568.80, 183,831.28 and 32,612

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Solution

The fourth proportional to 122,568.80, 183,831.28 and 32,612 is: 48,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,568.80 : 183,831.28 = 32,612 : x
  2. Step 2: Convert to fraction form
    122,568.80/183,831.28 = 32,612/x
  3. Step 3: Cross multiply
    122,568.80x = 183,831.28 × 32,612
  4. Step 4: Simplify right side
    122,568.80x = 5,995,105,703.36
  5. Step 5: Solve for x
    x = 5,995,105,703.36/122,568.80
  6. Step 6: Final answer
    x = 48,912.17

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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.