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Finding the Fourth Proportional to 29,682.50, 40,961.91 and 16,070.69

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Solution

The fourth proportional to 29,682.50, 40,961.91 and 16,070.69 is: 22,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.50 : 40,961.91 = 16,070.69 : x
  2. Step 2: Convert to fraction form
    29,682.50/40,961.91 = 16,070.69/x
  3. Step 3: Cross multiply
    29,682.50x = 40,961.91 × 16,070.69
  4. Step 4: Simplify right side
    29,682.50x = 658,286,012.87
  5. Step 5: Solve for x
    x = 658,286,012.87/29,682.50
  6. Step 6: Final answer
    x = 22,177.58

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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.