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Finding the Fourth Proportional to 31,193.89, 43,048.20 and 17,047.66

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Solution

The fourth proportional to 31,193.89, 43,048.20 and 17,047.66 is: 23,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.89 : 43,048.20 = 17,047.66 : x
  2. Step 2: Convert to fraction form
    31,193.89/43,048.20 = 17,047.66/x
  3. Step 3: Cross multiply
    31,193.89x = 43,048.20 × 17,047.66
  4. Step 4: Simplify right side
    31,193.89x = 733,871,077.21
  5. Step 5: Solve for x
    x = 733,871,077.21/31,193.89
  6. Step 6: Final answer
    x = 23,526.12

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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.