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Finding the Fourth Proportional to 54,843.24, 75,709.98 and 34,709.88

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Solution

The fourth proportional to 54,843.24, 75,709.98 and 34,709.88 is: 47,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.24 : 75,709.98 = 34,709.88 : x
  2. Step 2: Convert to fraction form
    54,843.24/75,709.98 = 34,709.88/x
  3. Step 3: Cross multiply
    54,843.24x = 75,709.98 × 34,709.88
  4. Step 4: Simplify right side
    54,843.24x = 2,627,884,320.60
  5. Step 5: Solve for x
    x = 2,627,884,320.60/54,843.24
  6. Step 6: Final answer
    x = 47,916.29

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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.