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Finding the Fourth Proportional to 48,644.50, 67,129.41 and 26,288.50

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Solution

The fourth proportional to 48,644.50, 67,129.41 and 26,288.50 is: 36,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,644.50 : 67,129.41 = 26,288.50 : x
  2. Step 2: Convert to fraction form
    48,644.50/67,129.41 = 26,288.50/x
  3. Step 3: Cross multiply
    48,644.50x = 67,129.41 × 26,288.50
  4. Step 4: Simplify right side
    48,644.50x = 1,764,731,494.79
  5. Step 5: Solve for x
    x = 1,764,731,494.79/48,644.50
  6. Step 6: Final answer
    x = 36,278.13

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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.