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Finding the Fourth Proportional to 31,602.28, 43,610.24 and 17,454.82

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Solution

The fourth proportional to 31,602.28, 43,610.24 and 17,454.82 is: 24,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.28 : 43,610.24 = 17,454.82 : x
  2. Step 2: Convert to fraction form
    31,602.28/43,610.24 = 17,454.82/x
  3. Step 3: Cross multiply
    31,602.28x = 43,610.24 × 17,454.82
  4. Step 4: Simplify right side
    31,602.28x = 761,208,889.36
  5. Step 5: Solve for x
    x = 761,208,889.36/31,602.28
  6. Step 6: Final answer
    x = 24,087.15

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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.