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Finding the Fourth Proportional to 29,794.62, 44,696.78 and 9,013.26

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Solution

The fourth proportional to 29,794.62, 44,696.78 and 9,013.26 is: 13,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,794.62 : 44,696.78 = 9,013.26 : x
  2. Step 2: Convert to fraction form
    29,794.62/44,696.78 = 9,013.26/x
  3. Step 3: Cross multiply
    29,794.62x = 44,696.78 × 9,013.26
  4. Step 4: Simplify right side
    29,794.62x = 402,863,699.30
  5. Step 5: Solve for x
    x = 402,863,699.30/29,794.62
  6. Step 6: Final answer
    x = 13,521.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.