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Finding the Fourth Proportional to 30,517.34, 45,773.42 and 9,456.92

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Solution

The fourth proportional to 30,517.34, 45,773.42 and 9,456.92 is: 14,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,517.34 : 45,773.42 = 9,456.92 : x
  2. Step 2: Convert to fraction form
    30,517.34/45,773.42 = 9,456.92/x
  3. Step 3: Cross multiply
    30,517.34x = 45,773.42 × 9,456.92
  4. Step 4: Simplify right side
    30,517.34x = 432,875,294.91
  5. Step 5: Solve for x
    x = 432,875,294.91/30,517.34
  6. Step 6: Final answer
    x = 14,184.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.