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Finding the Fourth Proportional to 71,264.66, 106,862.38 and 26,894.86

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Solution

The fourth proportional to 71,264.66, 106,862.38 and 26,894.86 is: 40,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264.66 : 106,862.38 = 26,894.86 : x
  2. Step 2: Convert to fraction form
    71,264.66/106,862.38 = 26,894.86/x
  3. Step 3: Cross multiply
    71,264.66x = 106,862.38 × 26,894.86
  4. Step 4: Simplify right side
    71,264.66x = 2,874,048,414.97
  5. Step 5: Solve for x
    x = 2,874,048,414.97/71,264.66
  6. Step 6: Final answer
    x = 40,329.23

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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.