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Finding the Fourth Proportional to 83,506.25, 125,228.30 and 33,569.55

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Solution

The fourth proportional to 83,506.25, 125,228.30 and 33,569.55 is: 50,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506.25 : 125,228.30 = 33,569.55 : x
  2. Step 2: Convert to fraction form
    83,506.25/125,228.30 = 33,569.55/x
  3. Step 3: Cross multiply
    83,506.25x = 125,228.30 × 33,569.55
  4. Step 4: Simplify right side
    83,506.25x = 4,203,857,510.42
  5. Step 5: Solve for x
    x = 4,203,857,510.42/83,506.25
  6. Step 6: Final answer
    x = 50,341.83

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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.