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Finding the Fourth Proportional to 48,858.42, 67,424.87 and 27,637.23

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Solution

The fourth proportional to 48,858.42, 67,424.87 and 27,637.23 is: 38,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,858.42 : 67,424.87 = 27,637.23 : x
  2. Step 2: Convert to fraction form
    48,858.42/67,424.87 = 27,637.23/x
  3. Step 3: Cross multiply
    48,858.42x = 67,424.87 × 27,637.23
  4. Step 4: Simplify right side
    48,858.42x = 1,863,436,276.35
  5. Step 5: Solve for x
    x = 1,863,436,276.35/48,858.42
  6. Step 6: Final answer
    x = 38,139.52

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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.