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Finding the Fourth Proportional to 45,408.68, 68,024.46 and 25,627.40

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Solution

The fourth proportional to 45,408.68, 68,024.46 and 25,627.40 is: 38,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,408.68 : 68,024.46 = 25,627.40 : x
  2. Step 2: Convert to fraction form
    45,408.68/68,024.46 = 25,627.40/x
  3. Step 3: Cross multiply
    45,408.68x = 68,024.46 × 25,627.40
  4. Step 4: Simplify right side
    45,408.68x = 1,743,290,046.20
  5. Step 5: Solve for x
    x = 1,743,290,046.20/45,408.68
  6. Step 6: Final answer
    x = 38,391.12

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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.