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Finding the Fourth Proportional to 48,024, 66,168.18 and 35,874

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Solution

The fourth proportional to 48,024, 66,168.18 and 35,874 is: 49,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,024 : 66,168.18 = 35,874 : x
  2. Step 2: Convert to fraction form
    48,024/66,168.18 = 35,874/x
  3. Step 3: Cross multiply
    48,024x = 66,168.18 × 35,874
  4. Step 4: Simplify right side
    48,024x = 2,373,717,289.32
  5. Step 5: Solve for x
    x = 2,373,717,289.32/48,024
  6. Step 6: Final answer
    x = 49,427.73

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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.