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Finding the Fourth Proportional to 38,302.26, 57,452.96 and 14,945.10

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Solution

The fourth proportional to 38,302.26, 57,452.96 and 14,945.10 is: 22,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.26 : 57,452.96 = 14,945.10 : x
  2. Step 2: Convert to fraction form
    38,302.26/57,452.96 = 14,945.10/x
  3. Step 3: Cross multiply
    38,302.26x = 57,452.96 × 14,945.10
  4. Step 4: Simplify right side
    38,302.26x = 858,640,232.50
  5. Step 5: Solve for x
    x = 858,640,232.50/38,302.26
  6. Step 6: Final answer
    x = 22,417.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.