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Finding the Fourth Proportional to 29,882.78, 44,823.86 and 7,696.07

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Solution

The fourth proportional to 29,882.78, 44,823.86 and 7,696.07 is: 11,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.78 : 44,823.86 = 7,696.07 : x
  2. Step 2: Convert to fraction form
    29,882.78/44,823.86 = 7,696.07/x
  3. Step 3: Cross multiply
    29,882.78x = 44,823.86 × 7,696.07
  4. Step 4: Simplify right side
    29,882.78x = 344,967,564.23
  5. Step 5: Solve for x
    x = 344,967,564.23/29,882.78
  6. Step 6: Final answer
    x = 11,544.03

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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.