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Finding the Fourth Proportional to 71,158.84, 106,755.77 and 50,139.93

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Solution

The fourth proportional to 71,158.84, 106,755.77 and 50,139.93 is: 75,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.84 : 106,755.77 = 50,139.93 : x
  2. Step 2: Convert to fraction form
    71,158.84/106,755.77 = 50,139.93/x
  3. Step 3: Cross multiply
    71,158.84x = 106,755.77 × 50,139.93
  4. Step 4: Simplify right side
    71,158.84x = 5,352,726,960.25
  5. Step 5: Solve for x
    x = 5,352,726,960.25/71,158.84
  6. Step 6: Final answer
    x = 75,222.24

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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.