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Finding the Fourth Proportional to 57,862.94, 86,827.19 and 22,827.20

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Solution

The fourth proportional to 57,862.94, 86,827.19 and 22,827.20 is: 34,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,862.94 : 86,827.19 = 22,827.20 : x
  2. Step 2: Convert to fraction form
    57,862.94/86,827.19 = 22,827.20/x
  3. Step 3: Cross multiply
    57,862.94x = 86,827.19 × 22,827.20
  4. Step 4: Simplify right side
    57,862.94x = 1,982,021,083.30
  5. Step 5: Solve for x
    x = 1,982,021,083.30/57,862.94
  6. Step 6: Final answer
    x = 34,253.73

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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.