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Finding the Fourth Proportional to 48,755, 73,132.50 and 11,819

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Solution

The fourth proportional to 48,755, 73,132.50 and 11,819 is: 17,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,755 : 73,132.50 = 11,819 : x
  2. Step 2: Convert to fraction form
    48,755/73,132.50 = 11,819/x
  3. Step 3: Cross multiply
    48,755x = 73,132.50 × 11,819
  4. Step 4: Simplify right side
    48,755x = 864,353,017.50
  5. Step 5: Solve for x
    x = 864,353,017.50/48,755
  6. Step 6: Final answer
    x = 17,728.50

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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.