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Finding the Fourth Proportional to 80,464.32, 111,024 and 48,627

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Solution

The fourth proportional to 80,464.32, 111,024 and 48,627 is: 67,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,464.32 : 111,024 = 48,627 : x
  2. Step 2: Convert to fraction form
    80,464.32/111,024 = 48,627/x
  3. Step 3: Cross multiply
    80,464.32x = 111,024 × 48,627
  4. Step 4: Simplify right side
    80,464.32x = 5,398,764,048
  5. Step 5: Solve for x
    x = 5,398,764,048/80,464.32
  6. Step 6: Final answer
    x = 67,095.13

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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.