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Finding the Fourth Proportional to 71,206.88, 106,810.55 and 26,821.71

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Solution

The fourth proportional to 71,206.88, 106,810.55 and 26,821.71 is: 40,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,206.88 : 106,810.55 = 26,821.71 : x
  2. Step 2: Convert to fraction form
    71,206.88/106,810.55 = 26,821.71/x
  3. Step 3: Cross multiply
    71,206.88x = 106,810.55 × 26,821.71
  4. Step 4: Simplify right side
    71,206.88x = 2,864,841,462.93
  5. Step 5: Solve for x
    x = 2,864,841,462.93/71,206.88
  6. Step 6: Final answer
    x = 40,232.65

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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.