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Finding the Fourth Proportional to 29,832.54, 41,169 and 16,404.64

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Solution

The fourth proportional to 29,832.54, 41,169 and 16,404.64 is: 22,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832.54 : 41,169 = 16,404.64 : x
  2. Step 2: Convert to fraction form
    29,832.54/41,169 = 16,404.64/x
  3. Step 3: Cross multiply
    29,832.54x = 41,169 × 16,404.64
  4. Step 4: Simplify right side
    29,832.54x = 675,362,624.16
  5. Step 5: Solve for x
    x = 675,362,624.16/29,832.54
  6. Step 6: Final answer
    x = 22,638.46

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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.