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Finding the Fourth Proportional to 29,874.25, 44,811.38 and 9,097.75

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Solution

The fourth proportional to 29,874.25, 44,811.38 and 9,097.75 is: 13,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874.25 : 44,811.38 = 9,097.75 : x
  2. Step 2: Convert to fraction form
    29,874.25/44,811.38 = 9,097.75/x
  3. Step 3: Cross multiply
    29,874.25x = 44,811.38 × 9,097.75
  4. Step 4: Simplify right side
    29,874.25x = 407,682,732.40
  5. Step 5: Solve for x
    x = 407,682,732.40/29,874.25
  6. Step 6: Final answer
    x = 13,646.63

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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.