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Finding the Fourth Proportional to 29,782.19, 41,100 and 16,353.32

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Solution

The fourth proportional to 29,782.19, 41,100 and 16,353.32 is: 22,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.19 : 41,100 = 16,353.32 : x
  2. Step 2: Convert to fraction form
    29,782.19/41,100 = 16,353.32/x
  3. Step 3: Cross multiply
    29,782.19x = 41,100 × 16,353.32
  4. Step 4: Simplify right side
    29,782.19x = 672,121,452
  5. Step 5: Solve for x
    x = 672,121,452/29,782.19
  6. Step 6: Final answer
    x = 22,567.90

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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.