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Finding the Fourth Proportional to 82,563.57, 123,827.13 and 23,397.93

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Solution

The fourth proportional to 82,563.57, 123,827.13 and 23,397.93 is: 35,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,563.57 : 123,827.13 = 23,397.93 : x
  2. Step 2: Convert to fraction form
    82,563.57/123,827.13 = 23,397.93/x
  3. Step 3: Cross multiply
    82,563.57x = 123,827.13 × 23,397.93
  4. Step 4: Simplify right side
    82,563.57x = 2,897,298,519.84
  5. Step 5: Solve for x
    x = 2,897,298,519.84/82,563.57
  6. Step 6: Final answer
    x = 35,091.73

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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.