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Finding the Fourth Proportional to 54,502.39, 75,182.50 and 34,324.57

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Solution

The fourth proportional to 54,502.39, 75,182.50 and 34,324.57 is: 47,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502.39 : 75,182.50 = 34,324.57 : x
  2. Step 2: Convert to fraction form
    54,502.39/75,182.50 = 34,324.57/x
  3. Step 3: Cross multiply
    54,502.39x = 75,182.50 × 34,324.57
  4. Step 4: Simplify right side
    54,502.39x = 2,580,606,984.03
  5. Step 5: Solve for x
    x = 2,580,606,984.03/54,502.39
  6. Step 6: Final answer
    x = 47,348.51

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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.