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Finding the Fourth Proportional to 77,197.68, 115,851.87 and 32,855.58

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Solution

The fourth proportional to 77,197.68, 115,851.87 and 32,855.58 is: 49,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197.68 : 115,851.87 = 32,855.58 : x
  2. Step 2: Convert to fraction form
    77,197.68/115,851.87 = 32,855.58/x
  3. Step 3: Cross multiply
    77,197.68x = 115,851.87 × 32,855.58
  4. Step 4: Simplify right side
    77,197.68x = 3,806,380,382.93
  5. Step 5: Solve for x
    x = 3,806,380,382.93/77,197.68
  6. Step 6: Final answer
    x = 49,306.93

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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.