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Finding the Fourth Proportional to 48,799.32, 67,342.20 and 27,578.16

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Solution

The fourth proportional to 48,799.32, 67,342.20 and 27,578.16 is: 38,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,799.32 : 67,342.20 = 27,578.16 : x
  2. Step 2: Convert to fraction form
    48,799.32/67,342.20 = 27,578.16/x
  3. Step 3: Cross multiply
    48,799.32x = 67,342.20 × 27,578.16
  4. Step 4: Simplify right side
    48,799.32x = 1,857,173,966.35
  5. Step 5: Solve for x
    x = 1,857,173,966.35/48,799.32
  6. Step 6: Final answer
    x = 38,057.37

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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.