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Finding the Fourth Proportional to 48,787.67, 67,328.28 and 27,566.48

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Solution

The fourth proportional to 48,787.67, 67,328.28 and 27,566.48 is: 38,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,787.67 : 67,328.28 = 27,566.48 : x
  2. Step 2: Convert to fraction form
    48,787.67/67,328.28 = 27,566.48/x
  3. Step 3: Cross multiply
    48,787.67x = 67,328.28 × 27,566.48
  4. Step 4: Simplify right side
    48,787.67x = 1,856,003,347.41
  5. Step 5: Solve for x
    x = 1,856,003,347.41/48,787.67
  6. Step 6: Final answer
    x = 38,042.47

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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.