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Finding the Fourth Proportional to 30,881.86, 42,617.82 and 17,452.84

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Solution

The fourth proportional to 30,881.86, 42,617.82 and 17,452.84 is: 24,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.86 : 42,617.82 = 17,452.84 : x
  2. Step 2: Convert to fraction form
    30,881.86/42,617.82 = 17,452.84/x
  3. Step 3: Cross multiply
    30,881.86x = 42,617.82 × 17,452.84
  4. Step 4: Simplify right side
    30,881.86x = 743,801,993.61
  5. Step 5: Solve for x
    x = 743,801,993.61/30,881.86
  6. Step 6: Final answer
    x = 24,085.40

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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.