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Finding the Fourth Proportional to 48,989.72, 67,607.52 and 27,768.80

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Solution

The fourth proportional to 48,989.72, 67,607.52 and 27,768.80 is: 38,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,989.72 : 67,607.52 = 27,768.80 : x
  2. Step 2: Convert to fraction form
    48,989.72/67,607.52 = 27,768.80/x
  3. Step 3: Cross multiply
    48,989.72x = 67,607.52 × 27,768.80
  4. Step 4: Simplify right side
    48,989.72x = 1,877,379,701.38
  5. Step 5: Solve for x
    x = 1,877,379,701.38/48,989.72
  6. Step 6: Final answer
    x = 38,321.91

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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.