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Finding the Fourth Proportional to 82,464.68, 123,717.17 and 26,304.80

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Solution

The fourth proportional to 82,464.68, 123,717.17 and 26,304.80 is: 39,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,464.68 : 123,717.17 = 26,304.80 : x
  2. Step 2: Convert to fraction form
    82,464.68/123,717.17 = 26,304.80/x
  3. Step 3: Cross multiply
    82,464.68x = 123,717.17 × 26,304.80
  4. Step 4: Simplify right side
    82,464.68x = 3,254,355,556.50
  5. Step 5: Solve for x
    x = 3,254,355,556.50/82,464.68
  6. Step 6: Final answer
    x = 39,463.63

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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.