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Finding the Fourth Proportional to 31,089.29, 42,903.22 and 16,942.13

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Solution

The fourth proportional to 31,089.29, 42,903.22 and 16,942.13 is: 23,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089.29 : 42,903.22 = 16,942.13 : x
  2. Step 2: Convert to fraction form
    31,089.29/42,903.22 = 16,942.13/x
  3. Step 3: Cross multiply
    31,089.29x = 42,903.22 × 16,942.13
  4. Step 4: Simplify right side
    31,089.29x = 726,871,673.79
  5. Step 5: Solve for x
    x = 726,871,673.79/31,089.29
  6. Step 6: Final answer
    x = 23,380.13

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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.