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Finding the Fourth Proportional to 54,242.38, 74,862.33 and 30,370.59

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Solution

The fourth proportional to 54,242.38, 74,862.33 and 30,370.59 is: 41,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,242.38 : 74,862.33 = 30,370.59 : x
  2. Step 2: Convert to fraction form
    54,242.38/74,862.33 = 30,370.59/x
  3. Step 3: Cross multiply
    54,242.38x = 74,862.33 × 30,370.59
  4. Step 4: Simplify right side
    54,242.38x = 2,273,613,130.87
  5. Step 5: Solve for x
    x = 2,273,613,130.87/54,242.38
  6. Step 6: Final answer
    x = 41,915.81

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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.