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Finding the Fourth Proportional to 32,618.38, 48,949.47 and 11,841.88

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Solution

The fourth proportional to 32,618.38, 48,949.47 and 11,841.88 is: 17,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,618.38 : 48,949.47 = 11,841.88 : x
  2. Step 2: Convert to fraction form
    32,618.38/48,949.47 = 11,841.88/x
  3. Step 3: Cross multiply
    32,618.38x = 48,949.47 × 11,841.88
  4. Step 4: Simplify right side
    32,618.38x = 579,653,749.80
  5. Step 5: Solve for x
    x = 579,653,749.80/32,618.38
  6. Step 6: Final answer
    x = 17,770.77

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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.