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Finding the Fourth Proportional to 30,832.88, 42,549.37 and 16,685.82

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Solution

The fourth proportional to 30,832.88, 42,549.37 and 16,685.82 is: 23,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.88 : 42,549.37 = 16,685.82 : x
  2. Step 2: Convert to fraction form
    30,832.88/42,549.37 = 16,685.82/x
  3. Step 3: Cross multiply
    30,832.88x = 42,549.37 × 16,685.82
  4. Step 4: Simplify right side
    30,832.88x = 709,971,087.22
  5. Step 5: Solve for x
    x = 709,971,087.22/30,832.88
  6. Step 6: Final answer
    x = 23,026.43

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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.