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Finding the Fourth Proportional to 48,878.24, 67,451.98 and 27,657.08

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Solution

The fourth proportional to 48,878.24, 67,451.98 and 27,657.08 is: 38,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,878.24 : 67,451.98 = 27,657.08 : x
  2. Step 2: Convert to fraction form
    48,878.24/67,451.98 = 27,657.08/x
  3. Step 3: Cross multiply
    48,878.24x = 67,451.98 × 27,657.08
  4. Step 4: Simplify right side
    48,878.24x = 1,865,524,807.02
  5. Step 5: Solve for x
    x = 1,865,524,807.02/48,878.24
  6. Step 6: Final answer
    x = 38,166.78

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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.