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Finding the Fourth Proportional to 106,507.70, 159,734.16 and 31,610.12

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Solution

The fourth proportional to 106,507.70, 159,734.16 and 31,610.12 is: 47,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.70 : 159,734.16 = 31,610.12 : x
  2. Step 2: Convert to fraction form
    106,507.70/159,734.16 = 31,610.12/x
  3. Step 3: Cross multiply
    106,507.70x = 159,734.16 × 31,610.12
  4. Step 4: Simplify right side
    106,507.70x = 5,049,215,965.70
  5. Step 5: Solve for x
    x = 5,049,215,965.70/106,507.70
  6. Step 6: Final answer
    x = 47,407.05

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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.