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Finding the Fourth Proportional to 71,264.16, 106,813.62 and 26,862.48

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Solution

The fourth proportional to 71,264.16, 106,813.62 and 26,862.48 is: 40,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264.16 : 106,813.62 = 26,862.48 : x
  2. Step 2: Convert to fraction form
    71,264.16/106,813.62 = 26,862.48/x
  3. Step 3: Cross multiply
    71,264.16x = 106,813.62 × 26,862.48
  4. Step 4: Simplify right side
    71,264.16x = 2,869,278,730.98
  5. Step 5: Solve for x
    x = 2,869,278,730.98/71,264.16
  6. Step 6: Final answer
    x = 40,262.58

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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.