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Finding the Fourth Proportional to 31,432.96, 43,411.52 and 19,524.80

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Solution

The fourth proportional to 31,432.96, 43,411.52 and 19,524.80 is: 26,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432.96 : 43,411.52 = 19,524.80 : x
  2. Step 2: Convert to fraction form
    31,432.96/43,411.52 = 19,524.80/x
  3. Step 3: Cross multiply
    31,432.96x = 43,411.52 × 19,524.80
  4. Step 4: Simplify right side
    31,432.96x = 847,601,245.70
  5. Step 5: Solve for x
    x = 847,601,245.70/31,432.96
  6. Step 6: Final answer
    x = 26,965.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.