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Finding the Fourth Proportional to 29,782.70, 41,097.10 and 17,845.74

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Solution

The fourth proportional to 29,782.70, 41,097.10 and 17,845.74 is: 24,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.70 : 41,097.10 = 17,845.74 : x
  2. Step 2: Convert to fraction form
    29,782.70/41,097.10 = 17,845.74/x
  3. Step 3: Cross multiply
    29,782.70x = 41,097.10 × 17,845.74
  4. Step 4: Simplify right side
    29,782.70x = 733,408,161.35
  5. Step 5: Solve for x
    x = 733,408,161.35/29,782.70
  6. Step 6: Final answer
    x = 24,625.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.