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Finding the Fourth Proportional to 31,637.86, 43,661.16 and 17,491.62

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Solution

The fourth proportional to 31,637.86, 43,661.16 and 17,491.62 is: 24,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637.86 : 43,661.16 = 17,491.62 : x
  2. Step 2: Convert to fraction form
    31,637.86/43,661.16 = 17,491.62/x
  3. Step 3: Cross multiply
    31,637.86x = 43,661.16 × 17,491.62
  4. Step 4: Simplify right side
    31,637.86x = 763,704,419.48
  5. Step 5: Solve for x
    x = 763,704,419.48/31,637.86
  6. Step 6: Final answer
    x = 24,138.94

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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.