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Finding the Fourth Proportional to 30,885.52, 42,617.42 and 17,456.67

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Solution

The fourth proportional to 30,885.52, 42,617.42 and 17,456.67 is: 24,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.52 : 42,617.42 = 17,456.67 : x
  2. Step 2: Convert to fraction form
    30,885.52/42,617.42 = 17,456.67/x
  3. Step 3: Cross multiply
    30,885.52x = 42,617.42 × 17,456.67
  4. Step 4: Simplify right side
    30,885.52x = 743,958,237.19
  5. Step 5: Solve for x
    x = 743,958,237.19/30,885.52
  6. Step 6: Final answer
    x = 24,087.61

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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.