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Finding the Fourth Proportional to 31,616.69, 47,425.01 and 10,273.68

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Solution

The fourth proportional to 31,616.69, 47,425.01 and 10,273.68 is: 15,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.69 : 47,425.01 = 10,273.68 : x
  2. Step 2: Convert to fraction form
    31,616.69/47,425.01 = 10,273.68/x
  3. Step 3: Cross multiply
    31,616.69x = 47,425.01 × 10,273.68
  4. Step 4: Simplify right side
    31,616.69x = 487,229,325.37
  5. Step 5: Solve for x
    x = 487,229,325.37/31,616.69
  6. Step 6: Final answer
    x = 15,410.51

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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.