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Finding the Fourth Proportional to 31,602.88, 43,611.97 and 17,456.63

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Solution

The fourth proportional to 31,602.88, 43,611.97 and 17,456.63 is: 24,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.88 : 43,611.97 = 17,456.63 : x
  2. Step 2: Convert to fraction form
    31,602.88/43,611.97 = 17,456.63/x
  3. Step 3: Cross multiply
    31,602.88x = 43,611.97 × 17,456.63
  4. Step 4: Simplify right side
    31,602.88x = 761,318,023.86
  5. Step 5: Solve for x
    x = 761,318,023.86/31,602.88
  6. Step 6: Final answer
    x = 24,090.15

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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.