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Finding the Fourth Proportional to 29,810.70, 41,138.70 and 16,198.77

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Solution

The fourth proportional to 29,810.70, 41,138.70 and 16,198.77 is: 22,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.70 : 41,138.70 = 16,198.77 : x
  2. Step 2: Convert to fraction form
    29,810.70/41,138.70 = 16,198.77/x
  3. Step 3: Cross multiply
    29,810.70x = 41,138.70 × 16,198.77
  4. Step 4: Simplify right side
    29,810.70x = 666,396,339.40
  5. Step 5: Solve for x
    x = 666,396,339.40/29,810.70
  6. Step 6: Final answer
    x = 22,354.27

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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.