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Finding the Fourth Proportional to 57,032.52, 85,527 and 22,827.84

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Solution

The fourth proportional to 57,032.52, 85,527 and 22,827.84 is: 34,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,032.52 : 85,527 = 22,827.84 : x
  2. Step 2: Convert to fraction form
    57,032.52/85,527 = 22,827.84/x
  3. Step 3: Cross multiply
    57,032.52x = 85,527 × 22,827.84
  4. Step 4: Simplify right side
    57,032.52x = 1,952,396,671.68
  5. Step 5: Solve for x
    x = 1,952,396,671.68/57,032.52
  6. Step 6: Final answer
    x = 34,233.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.