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Finding the Fourth Proportional to 82,581.93, 123,881.10 and 26,407.92

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Solution

The fourth proportional to 82,581.93, 123,881.10 and 26,407.92 is: 39,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,581.93 : 123,881.10 = 26,407.92 : x
  2. Step 2: Convert to fraction form
    82,581.93/123,881.10 = 26,407.92/x
  3. Step 3: Cross multiply
    82,581.93x = 123,881.10 × 26,407.92
  4. Step 4: Simplify right side
    82,581.93x = 3,271,442,543.84
  5. Step 5: Solve for x
    x = 3,271,442,543.84/82,581.93
  6. Step 6: Final answer
    x = 39,614.51

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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.