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Finding the Fourth Proportional to 31,227.28, 46,847.76 and 9,041.56

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Solution

The fourth proportional to 31,227.28, 46,847.76 and 9,041.56 is: 13,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227.28 : 46,847.76 = 9,041.56 : x
  2. Step 2: Convert to fraction form
    31,227.28/46,847.76 = 9,041.56/x
  3. Step 3: Cross multiply
    31,227.28x = 46,847.76 × 9,041.56
  4. Step 4: Simplify right side
    31,227.28x = 423,576,832.91
  5. Step 5: Solve for x
    x = 423,576,832.91/31,227.28
  6. Step 6: Final answer
    x = 13,564.32

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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.