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Finding the Fourth Proportional to 31,391.70, 47,094.48 and 10,338.22

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Solution

The fourth proportional to 31,391.70, 47,094.48 and 10,338.22 is: 15,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,391.70 : 47,094.48 = 10,338.22 : x
  2. Step 2: Convert to fraction form
    31,391.70/47,094.48 = 10,338.22/x
  3. Step 3: Cross multiply
    31,391.70x = 47,094.48 × 10,338.22
  4. Step 4: Simplify right side
    31,391.70x = 486,873,095.03
  5. Step 5: Solve for x
    x = 486,873,095.03/31,391.70
  6. Step 6: Final answer
    x = 15,509.61

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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.