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Finding the Fourth Proportional to 48,816.64, 67,368 and 27,594.64

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Solution

The fourth proportional to 48,816.64, 67,368 and 27,594.64 is: 38,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,816.64 : 67,368 = 27,594.64 : x
  2. Step 2: Convert to fraction form
    48,816.64/67,368 = 27,594.64/x
  3. Step 3: Cross multiply
    48,816.64x = 67,368 × 27,594.64
  4. Step 4: Simplify right side
    48,816.64x = 1,858,995,707.52
  5. Step 5: Solve for x
    x = 1,858,995,707.52/48,816.64
  6. Step 6: Final answer
    x = 38,081.19

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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.