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Finding the Fourth Proportional to 47,367.59, 71,036 and 15,769.17

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Solution

The fourth proportional to 47,367.59, 71,036 and 15,769.17 is: 23,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,367.59 : 71,036 = 15,769.17 : x
  2. Step 2: Convert to fraction form
    47,367.59/71,036 = 15,769.17/x
  3. Step 3: Cross multiply
    47,367.59x = 71,036 × 15,769.17
  4. Step 4: Simplify right side
    47,367.59x = 1,120,178,760.12
  5. Step 5: Solve for x
    x = 1,120,178,760.12/47,367.59
  6. Step 6: Final answer
    x = 23,648.63

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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.