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Finding the Fourth Proportional to 33,034.98, 49,556.88 and 9,661.08

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Solution

The fourth proportional to 33,034.98, 49,556.88 and 9,661.08 is: 14,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,034.98 : 49,556.88 = 9,661.08 : x
  2. Step 2: Convert to fraction form
    33,034.98/49,556.88 = 9,661.08/x
  3. Step 3: Cross multiply
    33,034.98x = 49,556.88 × 9,661.08
  4. Step 4: Simplify right side
    33,034.98x = 478,772,982.23
  5. Step 5: Solve for x
    x = 478,772,982.23/33,034.98
  6. Step 6: Final answer
    x = 14,492.91

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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.