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Finding the Fourth Proportional to 31,410.69, 47,110.41 and 10,350.99

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Solution

The fourth proportional to 31,410.69, 47,110.41 and 10,350.99 is: 15,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410.69 : 47,110.41 = 10,350.99 : x
  2. Step 2: Convert to fraction form
    31,410.69/47,110.41 = 10,350.99/x
  3. Step 3: Cross multiply
    31,410.69x = 47,110.41 × 10,350.99
  4. Step 4: Simplify right side
    31,410.69x = 487,639,382.81
  5. Step 5: Solve for x
    x = 487,639,382.81/31,410.69
  6. Step 6: Final answer
    x = 15,524.63

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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.