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Finding the Fourth Proportional to 25,842.75, 35,644.35 and 23,725

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Solution

The fourth proportional to 25,842.75, 35,644.35 and 23,725 is: 32,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.75 : 35,644.35 = 23,725 : x
  2. Step 2: Convert to fraction form
    25,842.75/35,644.35 = 23,725/x
  3. Step 3: Cross multiply
    25,842.75x = 35,644.35 × 23,725
  4. Step 4: Simplify right side
    25,842.75x = 845,662,203.75
  5. Step 5: Solve for x
    x = 845,662,203.75/25,842.75
  6. Step 6: Final answer
    x = 32,723.38

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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.