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Finding the Fourth Proportional to 31,496.16, 43,463.44 and 17,348

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Solution

The fourth proportional to 31,496.16, 43,463.44 and 17,348 is: 23,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496.16 : 43,463.44 = 17,348 : x
  2. Step 2: Convert to fraction form
    31,496.16/43,463.44 = 17,348/x
  3. Step 3: Cross multiply
    31,496.16x = 43,463.44 × 17,348
  4. Step 4: Simplify right side
    31,496.16x = 754,003,757.12
  5. Step 5: Solve for x
    x = 754,003,757.12/31,496.16
  6. Step 6: Final answer
    x = 23,939.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.