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Finding the Fourth Proportional to 29,835.96, 41,174.52 and 16,406.52

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Solution

The fourth proportional to 29,835.96, 41,174.52 and 16,406.52 is: 22,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.96 : 41,174.52 = 16,406.52 : x
  2. Step 2: Convert to fraction form
    29,835.96/41,174.52 = 16,406.52/x
  3. Step 3: Cross multiply
    29,835.96x = 41,174.52 × 16,406.52
  4. Step 4: Simplify right side
    29,835.96x = 675,530,585.87
  5. Step 5: Solve for x
    x = 675,530,585.87/29,835.96
  6. Step 6: Final answer
    x = 22,641.49

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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.