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Finding the Fourth Proportional to 48,982, 67,600.86 and 27,477.68

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Solution

The fourth proportional to 48,982, 67,600.86 and 27,477.68 is: 37,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,982 : 67,600.86 = 27,477.68 : x
  2. Step 2: Convert to fraction form
    48,982/67,600.86 = 27,477.68/x
  3. Step 3: Cross multiply
    48,982x = 67,600.86 × 27,477.68
  4. Step 4: Simplify right side
    48,982x = 1,857,514,798.80
  5. Step 5: Solve for x
    x = 1,857,514,798.80/48,982
  6. Step 6: Final answer
    x = 37,922.40

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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.