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Finding the Fourth Proportional to 30,677.96, 42,335.42 and 17,249.24

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Solution

The fourth proportional to 30,677.96, 42,335.42 and 17,249.24 is: 23,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.96 : 42,335.42 = 17,249.24 : x
  2. Step 2: Convert to fraction form
    30,677.96/42,335.42 = 17,249.24/x
  3. Step 3: Cross multiply
    30,677.96x = 42,335.42 × 17,249.24
  4. Step 4: Simplify right side
    30,677.96x = 730,253,820.08
  5. Step 5: Solve for x
    x = 730,253,820.08/30,677.96
  6. Step 6: Final answer
    x = 23,803.86

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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.