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Finding the Fourth Proportional to 48,691, 73,036.50 and 11,755

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Solution

The fourth proportional to 48,691, 73,036.50 and 11,755 is: 17,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,691 : 73,036.50 = 11,755 : x
  2. Step 2: Convert to fraction form
    48,691/73,036.50 = 11,755/x
  3. Step 3: Cross multiply
    48,691x = 73,036.50 × 11,755
  4. Step 4: Simplify right side
    48,691x = 858,544,057.50
  5. Step 5: Solve for x
    x = 858,544,057.50/48,691
  6. Step 6: Final answer
    x = 17,632.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.