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Finding the Fourth Proportional to 31,648.14, 43,673.76 and 17,501.22

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Solution

The fourth proportional to 31,648.14, 43,673.76 and 17,501.22 is: 24,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.14 : 43,673.76 = 17,501.22 : x
  2. Step 2: Convert to fraction form
    31,648.14/43,673.76 = 17,501.22/x
  3. Step 3: Cross multiply
    31,648.14x = 43,673.76 × 17,501.22
  4. Step 4: Simplify right side
    31,648.14x = 764,344,081.99
  5. Step 5: Solve for x
    x = 764,344,081.99/31,648.14
  6. Step 6: Final answer
    x = 24,151.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.