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Finding the Fourth Proportional to 38,515.72, 53,149.32 and 22,380.52

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Solution

The fourth proportional to 38,515.72, 53,149.32 and 22,380.52 is: 30,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,515.72 : 53,149.32 = 22,380.52 : x
  2. Step 2: Convert to fraction form
    38,515.72/53,149.32 = 22,380.52/x
  3. Step 3: Cross multiply
    38,515.72x = 53,149.32 × 22,380.52
  4. Step 4: Simplify right side
    38,515.72x = 1,189,509,419.25
  5. Step 5: Solve for x
    x = 1,189,509,419.25/38,515.72
  6. Step 6: Final answer
    x = 30,883.74

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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.