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Finding the Fourth Proportional to 31,617.10, 47,419.19 and 11,619.71

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Solution

The fourth proportional to 31,617.10, 47,419.19 and 11,619.71 is: 17,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617.10 : 47,419.19 = 11,619.71 : x
  2. Step 2: Convert to fraction form
    31,617.10/47,419.19 = 11,619.71/x
  3. Step 3: Cross multiply
    31,617.10x = 47,419.19 × 11,619.71
  4. Step 4: Simplify right side
    31,617.10x = 550,997,236.23
  5. Step 5: Solve for x
    x = 550,997,236.23/31,617.10
  6. Step 6: Final answer
    x = 17,427.19

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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.