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Finding the Fourth Proportional to 48,625, 67,102.50 and 26,269

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Solution

The fourth proportional to 48,625, 67,102.50 and 26,269 is: 36,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,625 : 67,102.50 = 26,269 : x
  2. Step 2: Convert to fraction form
    48,625/67,102.50 = 26,269/x
  3. Step 3: Cross multiply
    48,625x = 67,102.50 × 26,269
  4. Step 4: Simplify right side
    48,625x = 1,762,715,572.50
  5. Step 5: Solve for x
    x = 1,762,715,572.50/48,625
  6. Step 6: Final answer
    x = 36,251.22

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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.