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Finding the Fourth Proportional to 33,097.80, 49,647.90 and 9,726.60

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Solution

The fourth proportional to 33,097.80, 49,647.90 and 9,726.60 is: 14,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.80 : 49,647.90 = 9,726.60 : x
  2. Step 2: Convert to fraction form
    33,097.80/49,647.90 = 9,726.60/x
  3. Step 3: Cross multiply
    33,097.80x = 49,647.90 × 9,726.60
  4. Step 4: Simplify right side
    33,097.80x = 482,905,264.14
  5. Step 5: Solve for x
    x = 482,905,264.14/33,097.80
  6. Step 6: Final answer
    x = 14,590.25

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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.