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Finding the Fourth Proportional to 54,844.74, 75,712.05 and 34,711.38

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Solution

The fourth proportional to 54,844.74, 75,712.05 and 34,711.38 is: 47,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,844.74 : 75,712.05 = 34,711.38 : x
  2. Step 2: Convert to fraction form
    54,844.74/75,712.05 = 34,711.38/x
  3. Step 3: Cross multiply
    54,844.74x = 75,712.05 × 34,711.38
  4. Step 4: Simplify right side
    54,844.74x = 2,628,069,738.13
  5. Step 5: Solve for x
    x = 2,628,069,738.13/54,844.74
  6. Step 6: Final answer
    x = 47,918.36

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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.