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Finding the Fourth Proportional to 47,833.42, 71,703.61 and 22,867

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Solution

The fourth proportional to 47,833.42, 71,703.61 and 22,867 is: 34,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,833.42 : 71,703.61 = 22,867 : x
  2. Step 2: Convert to fraction form
    47,833.42/71,703.61 = 22,867/x
  3. Step 3: Cross multiply
    47,833.42x = 71,703.61 × 22,867
  4. Step 4: Simplify right side
    47,833.42x = 1,639,646,449.87
  5. Step 5: Solve for x
    x = 1,639,646,449.87/47,833.42
  6. Step 6: Final answer
    x = 34,278.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.