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Finding the Fourth Proportional to 31,538.58, 43,478.01 and 24,812.54

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Solution

The fourth proportional to 31,538.58, 43,478.01 and 24,812.54 is: 34,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.58 : 43,478.01 = 24,812.54 : x
  2. Step 2: Convert to fraction form
    31,538.58/43,478.01 = 24,812.54/x
  3. Step 3: Cross multiply
    31,538.58x = 43,478.01 × 24,812.54
  4. Step 4: Simplify right side
    31,538.58x = 1,078,799,644.86
  5. Step 5: Solve for x
    x = 1,078,799,644.86/31,538.58
  6. Step 6: Final answer
    x = 34,205.71

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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.