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Finding the Fourth Proportional to 27,432.96, 40,949.76 and 24,821.76

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Solution

The fourth proportional to 27,432.96, 40,949.76 and 24,821.76 is: 37,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432.96 : 40,949.76 = 24,821.76 : x
  2. Step 2: Convert to fraction form
    27,432.96/40,949.76 = 24,821.76/x
  3. Step 3: Cross multiply
    27,432.96x = 40,949.76 × 24,821.76
  4. Step 4: Simplify right side
    27,432.96x = 1,016,445,114.78
  5. Step 5: Solve for x
    x = 1,016,445,114.78/27,432.96
  6. Step 6: Final answer
    x = 37,051.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.