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Finding the Fourth Proportional to 48,669.38, 67,164.72 and 27,444.50

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Solution

The fourth proportional to 48,669.38, 67,164.72 and 27,444.50 is: 37,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,669.38 : 67,164.72 = 27,444.50 : x
  2. Step 2: Convert to fraction form
    48,669.38/67,164.72 = 27,444.50/x
  3. Step 3: Cross multiply
    48,669.38x = 67,164.72 × 27,444.50
  4. Step 4: Simplify right side
    48,669.38x = 1,843,302,158.04
  5. Step 5: Solve for x
    x = 1,843,302,158.04/48,669.38
  6. Step 6: Final answer
    x = 37,873.96

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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.