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Finding the Fourth Proportional to 31,774.25, 47,628.11 and 10,707.01

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Solution

The fourth proportional to 31,774.25, 47,628.11 and 10,707.01 is: 16,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.25 : 47,628.11 = 10,707.01 : x
  2. Step 2: Convert to fraction form
    31,774.25/47,628.11 = 10,707.01/x
  3. Step 3: Cross multiply
    31,774.25x = 47,628.11 × 10,707.01
  4. Step 4: Simplify right side
    31,774.25x = 509,954,650.05
  5. Step 5: Solve for x
    x = 509,954,650.05/31,774.25
  6. Step 6: Final answer
    x = 16,049.31

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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.