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Finding the Fourth Proportional to 48,044.30, 66,297.31 and 27,897.86

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Solution

The fourth proportional to 48,044.30, 66,297.31 and 27,897.86 is: 38,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,044.30 : 66,297.31 = 27,897.86 : x
  2. Step 2: Convert to fraction form
    48,044.30/66,297.31 = 27,897.86/x
  3. Step 3: Cross multiply
    48,044.30x = 66,297.31 × 27,897.86
  4. Step 4: Simplify right side
    48,044.30x = 1,849,553,168.76
  5. Step 5: Solve for x
    x = 1,849,553,168.76/48,044.30
  6. Step 6: Final answer
    x = 38,496.83

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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.