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Finding the Fourth Proportional to 31,227.53, 46,847.45 and 9,041.09

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Solution

The fourth proportional to 31,227.53, 46,847.45 and 9,041.09 is: 13,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227.53 : 46,847.45 = 9,041.09 : x
  2. Step 2: Convert to fraction form
    31,227.53/46,847.45 = 9,041.09/x
  3. Step 3: Cross multiply
    31,227.53x = 46,847.45 × 9,041.09
  4. Step 4: Simplify right side
    31,227.53x = 423,551,749.23
  5. Step 5: Solve for x
    x = 423,551,749.23/31,227.53
  6. Step 6: Final answer
    x = 13,563.41

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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.