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Finding the Fourth Proportional to 32,572.34, 48,865.68 and 18,538.97

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Solution

The fourth proportional to 32,572.34, 48,865.68 and 18,538.97 is: 27,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,572.34 : 48,865.68 = 18,538.97 : x
  2. Step 2: Convert to fraction form
    32,572.34/48,865.68 = 18,538.97/x
  3. Step 3: Cross multiply
    32,572.34x = 48,865.68 × 18,538.97
  4. Step 4: Simplify right side
    32,572.34x = 905,919,244.95
  5. Step 5: Solve for x
    x = 905,919,244.95/32,572.34
  6. Step 6: Final answer
    x = 27,812.54

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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.