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Finding the Fourth Proportional to 38,543.31, 53,198.64 and 25,091.12

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Solution

The fourth proportional to 38,543.31, 53,198.64 and 25,091.12 is: 34,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.31 : 53,198.64 = 25,091.12 : x
  2. Step 2: Convert to fraction form
    38,543.31/53,198.64 = 25,091.12/x
  3. Step 3: Cross multiply
    38,543.31x = 53,198.64 × 25,091.12
  4. Step 4: Simplify right side
    38,543.31x = 1,334,813,593.07
  5. Step 5: Solve for x
    x = 1,334,813,593.07/38,543.31
  6. Step 6: Final answer
    x = 34,631.52

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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.