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Finding the Fourth Proportional to 45,255.83, 67,825.17 and 25,264.80

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Solution

The fourth proportional to 45,255.83, 67,825.17 and 25,264.80 is: 37,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,255.83 : 67,825.17 = 25,264.80 : x
  2. Step 2: Convert to fraction form
    45,255.83/67,825.17 = 25,264.80/x
  3. Step 3: Cross multiply
    45,255.83x = 67,825.17 × 25,264.80
  4. Step 4: Simplify right side
    45,255.83x = 1,713,589,355.02
  5. Step 5: Solve for x
    x = 1,713,589,355.02/45,255.83
  6. Step 6: Final answer
    x = 37,864.50

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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.