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Finding the Fourth Proportional to 33,100.19, 49,650.29 and 9,726.63

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Solution

The fourth proportional to 33,100.19, 49,650.29 and 9,726.63 is: 14,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,100.19 : 49,650.29 = 9,726.63 : x
  2. Step 2: Convert to fraction form
    33,100.19/49,650.29 = 9,726.63/x
  3. Step 3: Cross multiply
    33,100.19x = 49,650.29 × 9,726.63
  4. Step 4: Simplify right side
    33,100.19x = 482,930,000.22
  5. Step 5: Solve for x
    x = 482,930,000.22/33,100.19
  6. Step 6: Final answer
    x = 14,589.95

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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.