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Finding the Fourth Proportional to 29,781, 41,098.38 and 16,352.22

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Solution

The fourth proportional to 29,781, 41,098.38 and 16,352.22 is: 22,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781 : 41,098.38 = 16,352.22 : x
  2. Step 2: Convert to fraction form
    29,781/41,098.38 = 16,352.22/x
  3. Step 3: Cross multiply
    29,781x = 41,098.38 × 16,352.22
  4. Step 4: Simplify right side
    29,781x = 672,049,751.40
  5. Step 5: Solve for x
    x = 672,049,751.40/29,781
  6. Step 6: Final answer
    x = 22,566.39

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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.