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Finding the Fourth Proportional to 48,922.71, 67,525.44 and 27,714.48

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Solution

The fourth proportional to 48,922.71, 67,525.44 and 27,714.48 is: 38,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,922.71 : 67,525.44 = 27,714.48 : x
  2. Step 2: Convert to fraction form
    48,922.71/67,525.44 = 27,714.48/x
  3. Step 3: Cross multiply
    48,922.71x = 67,525.44 × 27,714.48
  4. Step 4: Simplify right side
    48,922.71x = 1,871,432,456.37
  5. Step 5: Solve for x
    x = 1,871,432,456.37/48,922.71
  6. Step 6: Final answer
    x = 38,252.84

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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.