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Finding the Fourth Proportional to 29,594.70, 44,398.74 and 9,874.02

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Solution

The fourth proportional to 29,594.70, 44,398.74 and 9,874.02 is: 14,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594.70 : 44,398.74 = 9,874.02 : x
  2. Step 2: Convert to fraction form
    29,594.70/44,398.74 = 9,874.02/x
  3. Step 3: Cross multiply
    29,594.70x = 44,398.74 × 9,874.02
  4. Step 4: Simplify right side
    29,594.70x = 438,394,046.73
  5. Step 5: Solve for x
    x = 438,394,046.73/29,594.70
  6. Step 6: Final answer
    x = 14,813.26

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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.