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Finding the Fourth Proportional to 31,452.68, 43,357.74 and 20,823.86

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Solution

The fourth proportional to 31,452.68, 43,357.74 and 20,823.86 is: 28,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,452.68 : 43,357.74 = 20,823.86 : x
  2. Step 2: Convert to fraction form
    31,452.68/43,357.74 = 20,823.86/x
  3. Step 3: Cross multiply
    31,452.68x = 43,357.74 × 20,823.86
  4. Step 4: Simplify right side
    31,452.68x = 902,875,507.68
  5. Step 5: Solve for x
    x = 902,875,507.68/31,452.68
  6. Step 6: Final answer
    x = 28,705.84

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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.