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Finding the Fourth Proportional to 48,699.48, 67,203.74 and 27,478.44

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Solution

The fourth proportional to 48,699.48, 67,203.74 and 27,478.44 is: 37,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,699.48 : 67,203.74 = 27,478.44 : x
  2. Step 2: Convert to fraction form
    48,699.48/67,203.74 = 27,478.44/x
  3. Step 3: Cross multiply
    48,699.48x = 67,203.74 × 27,478.44
  4. Step 4: Simplify right side
    48,699.48x = 1,846,653,937.37
  5. Step 5: Solve for x
    x = 1,846,653,937.37/48,699.48
  6. Step 6: Final answer
    x = 37,919.38

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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.