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Finding the Fourth Proportional to 31,491.14, 43,457.42 and 17,343.68

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Solution

The fourth proportional to 31,491.14, 43,457.42 and 17,343.68 is: 23,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491.14 : 43,457.42 = 17,343.68 : x
  2. Step 2: Convert to fraction form
    31,491.14/43,457.42 = 17,343.68/x
  3. Step 3: Cross multiply
    31,491.14x = 43,457.42 × 17,343.68
  4. Step 4: Simplify right side
    31,491.14x = 753,711,586.11
  5. Step 5: Solve for x
    x = 753,711,586.11/31,491.14
  6. Step 6: Final answer
    x = 23,934.08

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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.