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Finding the Fourth Proportional to 106,250.08, 159,337.92 and 31,350.32

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Solution

The fourth proportional to 106,250.08, 159,337.92 and 31,350.32 is: 47,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,250.08 : 159,337.92 = 31,350.32 : x
  2. Step 2: Convert to fraction form
    106,250.08/159,337.92 = 31,350.32/x
  3. Step 3: Cross multiply
    106,250.08x = 159,337.92 × 31,350.32
  4. Step 4: Simplify right side
    106,250.08x = 4,995,294,780.13
  5. Step 5: Solve for x
    x = 4,995,294,780.13/106,250.08
  6. Step 6: Final answer
    x = 47,014.50

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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.