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Finding the Fourth Proportional to 48,898.16, 67,464 and 33,791.64

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Solution

The fourth proportional to 48,898.16, 67,464 and 33,791.64 is: 46,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,898.16 : 67,464 = 33,791.64 : x
  2. Step 2: Convert to fraction form
    48,898.16/67,464 = 33,791.64/x
  3. Step 3: Cross multiply
    48,898.16x = 67,464 × 33,791.64
  4. Step 4: Simplify right side
    48,898.16x = 2,279,719,200.96
  5. Step 5: Solve for x
    x = 2,279,719,200.96/48,898.16
  6. Step 6: Final answer
    x = 46,621.78

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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.