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Finding the Fourth Proportional to 31,223.28, 43,072.92 and 21,270

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Solution

The fourth proportional to 31,223.28, 43,072.92 and 21,270 is: 29,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.28 : 43,072.92 = 21,270 : x
  2. Step 2: Convert to fraction form
    31,223.28/43,072.92 = 21,270/x
  3. Step 3: Cross multiply
    31,223.28x = 43,072.92 × 21,270
  4. Step 4: Simplify right side
    31,223.28x = 916,161,008.40
  5. Step 5: Solve for x
    x = 916,161,008.40/31,223.28
  6. Step 6: Final answer
    x = 29,342.24

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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.