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Finding the Fourth Proportional to 59,569.46, 82,206.42 and 32,712.53

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Solution

The fourth proportional to 59,569.46, 82,206.42 and 32,712.53 is: 45,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,569.46 : 82,206.42 = 32,712.53 : x
  2. Step 2: Convert to fraction form
    59,569.46/82,206.42 = 32,712.53/x
  3. Step 3: Cross multiply
    59,569.46x = 82,206.42 × 32,712.53
  4. Step 4: Simplify right side
    59,569.46x = 2,689,180,103.11
  5. Step 5: Solve for x
    x = 2,689,180,103.11/59,569.46
  6. Step 6: Final answer
    x = 45,143.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.