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Finding the Fourth Proportional to 31,382.74, 47,073.50 and 9,195.63

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Solution

The fourth proportional to 31,382.74, 47,073.50 and 9,195.63 is: 13,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.74 : 47,073.50 = 9,195.63 : x
  2. Step 2: Convert to fraction form
    31,382.74/47,073.50 = 9,195.63/x
  3. Step 3: Cross multiply
    31,382.74x = 47,073.50 × 9,195.63
  4. Step 4: Simplify right side
    31,382.74x = 432,870,352.51
  5. Step 5: Solve for x
    x = 432,870,352.51/31,382.74
  6. Step 6: Final answer
    x = 13,793.26

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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.