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Finding the Fourth Proportional to 55,891.53, 77,163.17 and 34,682.49

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Solution

The fourth proportional to 55,891.53, 77,163.17 and 34,682.49 is: 47,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,891.53 : 77,163.17 = 34,682.49 : x
  2. Step 2: Convert to fraction form
    55,891.53/77,163.17 = 34,682.49/x
  3. Step 3: Cross multiply
    55,891.53x = 77,163.17 × 34,682.49
  4. Step 4: Simplify right side
    55,891.53x = 2,676,210,698.48
  5. Step 5: Solve for x
    x = 2,676,210,698.48/55,891.53
  6. Step 6: Final answer
    x = 47,882.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.