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Finding the Fourth Proportional to 48,766.50, 67,297.77 and 26,410.50

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Solution

The fourth proportional to 48,766.50, 67,297.77 and 26,410.50 is: 36,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,766.50 : 67,297.77 = 26,410.50 : x
  2. Step 2: Convert to fraction form
    48,766.50/67,297.77 = 26,410.50/x
  3. Step 3: Cross multiply
    48,766.50x = 67,297.77 × 26,410.50
  4. Step 4: Simplify right side
    48,766.50x = 1,777,367,754.59
  5. Step 5: Solve for x
    x = 1,777,367,754.59/48,766.50
  6. Step 6: Final answer
    x = 36,446.49

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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.