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Finding the Fourth Proportional to 48,898.94, 67,482.14 and 27,677.75

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Solution

The fourth proportional to 48,898.94, 67,482.14 and 27,677.75 is: 38,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,898.94 : 67,482.14 = 27,677.75 : x
  2. Step 2: Convert to fraction form
    48,898.94/67,482.14 = 27,677.75/x
  3. Step 3: Cross multiply
    48,898.94x = 67,482.14 × 27,677.75
  4. Step 4: Simplify right side
    48,898.94x = 1,867,753,324.59
  5. Step 5: Solve for x
    x = 1,867,753,324.59/48,898.94
  6. Step 6: Final answer
    x = 38,196.20

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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.