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Finding the Fourth Proportional to 52,806.30, 79,156.14 and 33,098.69

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Solution

The fourth proportional to 52,806.30, 79,156.14 and 33,098.69 is: 49,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,806.30 : 79,156.14 = 33,098.69 : x
  2. Step 2: Convert to fraction form
    52,806.30/79,156.14 = 33,098.69/x
  3. Step 3: Cross multiply
    52,806.30x = 79,156.14 × 33,098.69
  4. Step 4: Simplify right side
    52,806.30x = 2,619,964,613.23
  5. Step 5: Solve for x
    x = 2,619,964,613.23/52,806.30
  6. Step 6: Final answer
    x = 49,614.63

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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.