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Finding the Fourth Proportional to 48,633, 72,949.50 and 11,697

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Solution

The fourth proportional to 48,633, 72,949.50 and 11,697 is: 17,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,633 : 72,949.50 = 11,697 : x
  2. Step 2: Convert to fraction form
    48,633/72,949.50 = 11,697/x
  3. Step 3: Cross multiply
    48,633x = 72,949.50 × 11,697
  4. Step 4: Simplify right side
    48,633x = 853,290,301.50
  5. Step 5: Solve for x
    x = 853,290,301.50/48,633
  6. Step 6: Final answer
    x = 17,545.50

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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.