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Finding the Fourth Proportional to 30,229.80, 45,344.70 and 11,761.80

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Solution

The fourth proportional to 30,229.80, 45,344.70 and 11,761.80 is: 17,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.80 : 45,344.70 = 11,761.80 : x
  2. Step 2: Convert to fraction form
    30,229.80/45,344.70 = 11,761.80/x
  3. Step 3: Cross multiply
    30,229.80x = 45,344.70 × 11,761.80
  4. Step 4: Simplify right side
    30,229.80x = 533,335,292.46
  5. Step 5: Solve for x
    x = 533,335,292.46/30,229.80
  6. Step 6: Final answer
    x = 17,642.70

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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.