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Finding the Fourth Proportional to 71,222.52, 106,916.27 and 41,661.57

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Solution

The fourth proportional to 71,222.52, 106,916.27 and 41,661.57 is: 62,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,222.52 : 106,916.27 = 41,661.57 : x
  2. Step 2: Convert to fraction form
    71,222.52/106,916.27 = 41,661.57/x
  3. Step 3: Cross multiply
    71,222.52x = 106,916.27 × 41,661.57
  4. Step 4: Simplify right side
    71,222.52x = 4,454,299,666.74
  5. Step 5: Solve for x
    x = 4,454,299,666.74/71,222.52
  6. Step 6: Final answer
    x = 62,540.61

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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.