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Finding the Fourth Proportional to 33,100.34, 49,650.52 and 9,726.78

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Solution

The fourth proportional to 33,100.34, 49,650.52 and 9,726.78 is: 14,590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,100.34 : 49,650.52 = 9,726.78 : x
  2. Step 2: Convert to fraction form
    33,100.34/49,650.52 = 9,726.78/x
  3. Step 3: Cross multiply
    33,100.34x = 49,650.52 × 9,726.78
  4. Step 4: Simplify right side
    33,100.34x = 482,939,684.93
  5. Step 5: Solve for x
    x = 482,939,684.93/33,100.34
  6. Step 6: Final answer
    x = 14,590.17

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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.