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Finding the Fourth Proportional to 106,602.45, 159,889.11 and 31,734.15

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Solution

The fourth proportional to 106,602.45, 159,889.11 and 31,734.15 is: 47,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602.45 : 159,889.11 = 31,734.15 : x
  2. Step 2: Convert to fraction form
    106,602.45/159,889.11 = 31,734.15/x
  3. Step 3: Cross multiply
    106,602.45x = 159,889.11 × 31,734.15
  4. Step 4: Simplify right side
    106,602.45x = 5,073,945,000.11
  5. Step 5: Solve for x
    x = 5,073,945,000.11/106,602.45
  6. Step 6: Final answer
    x = 47,596.89

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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.