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Finding the Fourth Proportional to 30,381.75, 45,592.88 and 11,677.23

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Solution

The fourth proportional to 30,381.75, 45,592.88 and 11,677.23 is: 17,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.75 : 45,592.88 = 11,677.23 : x
  2. Step 2: Convert to fraction form
    30,381.75/45,592.88 = 11,677.23/x
  3. Step 3: Cross multiply
    30,381.75x = 45,592.88 × 11,677.23
  4. Step 4: Simplify right side
    30,381.75x = 532,398,487.74
  5. Step 5: Solve for x
    x = 532,398,487.74/30,381.75
  6. Step 6: Final answer
    x = 17,523.63

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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.