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Finding the Fourth Proportional to 48,827.93, 67,382.21 and 27,607.28

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Solution

The fourth proportional to 48,827.93, 67,382.21 and 27,607.28 is: 38,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,827.93 : 67,382.21 = 27,607.28 : x
  2. Step 2: Convert to fraction form
    48,827.93/67,382.21 = 27,607.28/x
  3. Step 3: Cross multiply
    48,827.93x = 67,382.21 × 27,607.28
  4. Step 4: Simplify right side
    48,827.93x = 1,860,239,270.60
  5. Step 5: Solve for x
    x = 1,860,239,270.60/48,827.93
  6. Step 6: Final answer
    x = 38,097.86

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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.