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Finding the Fourth Proportional to 132,937.06, 199,405.68 and 39,442

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Solution

The fourth proportional to 132,937.06, 199,405.68 and 39,442 is: 59,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,937.06 : 199,405.68 = 39,442 : x
  2. Step 2: Convert to fraction form
    132,937.06/199,405.68 = 39,442/x
  3. Step 3: Cross multiply
    132,937.06x = 199,405.68 × 39,442
  4. Step 4: Simplify right side
    132,937.06x = 7,864,958,830.56
  5. Step 5: Solve for x
    x = 7,864,958,830.56/132,937.06
  6. Step 6: Final answer
    x = 59,163.03

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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.