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Finding the Fourth Proportional to 38,544.42, 53,200.19 and 25,092.25

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Solution

The fourth proportional to 38,544.42, 53,200.19 and 25,092.25 is: 34,633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544.42 : 53,200.19 = 25,092.25 : x
  2. Step 2: Convert to fraction form
    38,544.42/53,200.19 = 25,092.25/x
  3. Step 3: Cross multiply
    38,544.42x = 53,200.19 × 25,092.25
  4. Step 4: Simplify right side
    38,544.42x = 1,334,912,397.26
  5. Step 5: Solve for x
    x = 1,334,912,397.26/38,544.42
  6. Step 6: Final answer
    x = 34,633.09

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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.