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Finding the Fourth Proportional to 106,106.86, 159,170.28 and 31,227.04

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Solution

The fourth proportional to 106,106.86, 159,170.28 and 31,227.04 is: 46,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,106.86 : 159,170.28 = 31,227.04 : x
  2. Step 2: Convert to fraction form
    106,106.86/159,170.28 = 31,227.04/x
  3. Step 3: Cross multiply
    106,106.86x = 159,170.28 × 31,227.04
  4. Step 4: Simplify right side
    106,106.86x = 4,970,416,700.37
  5. Step 5: Solve for x
    x = 4,970,416,700.37/106,106.86
  6. Step 6: Final answer
    x = 46,843.50

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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.