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Finding the Fourth Proportional to 59,569.92, 82,213.05 and 34,078.65

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Solution

The fourth proportional to 59,569.92, 82,213.05 and 34,078.65 is: 47,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,569.92 : 82,213.05 = 34,078.65 : x
  2. Step 2: Convert to fraction form
    59,569.92/82,213.05 = 34,078.65/x
  3. Step 3: Cross multiply
    59,569.92x = 82,213.05 × 34,078.65
  4. Step 4: Simplify right side
    59,569.92x = 2,801,709,756.38
  5. Step 5: Solve for x
    x = 2,801,709,756.38/59,569.92
  6. Step 6: Final answer
    x = 47,032.29

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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.