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Finding the Fourth Proportional to 71,261.76, 106,822.16 and 33,755.92

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Solution

The fourth proportional to 71,261.76, 106,822.16 and 33,755.92 is: 50,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,261.76 : 106,822.16 = 33,755.92 : x
  2. Step 2: Convert to fraction form
    71,261.76/106,822.16 = 33,755.92/x
  3. Step 3: Cross multiply
    71,261.76x = 106,822.16 × 33,755.92
  4. Step 4: Simplify right side
    71,261.76x = 3,605,880,287.19
  5. Step 5: Solve for x
    x = 3,605,880,287.19/71,261.76
  6. Step 6: Final answer
    x = 50,600.49

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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.