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Finding the Fourth Proportional to 101,706.12, 152,546.16 and 26,831.90

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Solution

The fourth proportional to 101,706.12, 152,546.16 and 26,831.90 is: 40,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,706.12 : 152,546.16 = 26,831.90 : x
  2. Step 2: Convert to fraction form
    101,706.12/152,546.16 = 26,831.90/x
  3. Step 3: Cross multiply
    101,706.12x = 152,546.16 × 26,831.90
  4. Step 4: Simplify right side
    101,706.12x = 4,093,103,310.50
  5. Step 5: Solve for x
    x = 4,093,103,310.50/101,706.12
  6. Step 6: Final answer
    x = 40,244.42

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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.