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Finding the Fourth Proportional to 31,101.09, 42,917.36 and 17,491.17

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Solution

The fourth proportional to 31,101.09, 42,917.36 and 17,491.17 is: 24,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,101.09 : 42,917.36 = 17,491.17 : x
  2. Step 2: Convert to fraction form
    31,101.09/42,917.36 = 17,491.17/x
  3. Step 3: Cross multiply
    31,101.09x = 42,917.36 × 17,491.17
  4. Step 4: Simplify right side
    31,101.09x = 750,674,839.71
  5. Step 5: Solve for x
    x = 750,674,839.71/31,101.09
  6. Step 6: Final answer
    x = 24,136.61

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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.