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Finding the Fourth Proportional to 31,501, 43,471.38 and 17,353.80

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Solution

The fourth proportional to 31,501, 43,471.38 and 17,353.80 is: 23,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501 : 43,471.38 = 17,353.80 : x
  2. Step 2: Convert to fraction form
    31,501/43,471.38 = 17,353.80/x
  3. Step 3: Cross multiply
    31,501x = 43,471.38 × 17,353.80
  4. Step 4: Simplify right side
    31,501x = 754,393,634.24
  5. Step 5: Solve for x
    x = 754,393,634.24/31,501
  6. Step 6: Final answer
    x = 23,948.24

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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.