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Finding the Fourth Proportional to 32,581.99, 48,876.85 and 11,517.68

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Solution

The fourth proportional to 32,581.99, 48,876.85 and 11,517.68 is: 17,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,581.99 : 48,876.85 = 11,517.68 : x
  2. Step 2: Convert to fraction form
    32,581.99/48,876.85 = 11,517.68/x
  3. Step 3: Cross multiply
    32,581.99x = 48,876.85 × 11,517.68
  4. Step 4: Simplify right side
    32,581.99x = 562,947,917.71
  5. Step 5: Solve for x
    x = 562,947,917.71/32,581.99
  6. Step 6: Final answer
    x = 17,277.89

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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.