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Finding the Fourth Proportional to 48,711, 73,104.78 and 25,017.60

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Solution

The fourth proportional to 48,711, 73,104.78 and 25,017.60 is: 37,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,711 : 73,104.78 = 25,017.60 : x
  2. Step 2: Convert to fraction form
    48,711/73,104.78 = 25,017.60/x
  3. Step 3: Cross multiply
    48,711x = 73,104.78 × 25,017.60
  4. Step 4: Simplify right side
    48,711x = 1,828,906,144.13
  5. Step 5: Solve for x
    x = 1,828,906,144.13/48,711
  6. Step 6: Final answer
    x = 37,546.06

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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.