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Finding the Fourth Proportional to 29,871, 41,221.02 and 16,442.24

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Solution

The fourth proportional to 29,871, 41,221.02 and 16,442.24 is: 22,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871 : 41,221.02 = 16,442.24 : x
  2. Step 2: Convert to fraction form
    29,871/41,221.02 = 16,442.24/x
  3. Step 3: Cross multiply
    29,871x = 41,221.02 × 16,442.24
  4. Step 4: Simplify right side
    29,871x = 677,765,903.88
  5. Step 5: Solve for x
    x = 677,765,903.88/29,871
  6. Step 6: Final answer
    x = 22,689.76

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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.