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Finding the Fourth Proportional to 48,132.78, 72,213.75 and 20,066.28

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Solution

The fourth proportional to 48,132.78, 72,213.75 and 20,066.28 is: 30,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,132.78 : 72,213.75 = 20,066.28 : x
  2. Step 2: Convert to fraction form
    48,132.78/72,213.75 = 20,066.28/x
  3. Step 3: Cross multiply
    48,132.78x = 72,213.75 × 20,066.28
  4. Step 4: Simplify right side
    48,132.78x = 1,449,061,327.35
  5. Step 5: Solve for x
    x = 1,449,061,327.35/48,132.78
  6. Step 6: Final answer
    x = 30,105.50

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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.