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Finding the Fourth Proportional to 29,837.42, 41,174.56 and 16,408.56

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Solution

The fourth proportional to 29,837.42, 41,174.56 and 16,408.56 is: 22,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,837.42 : 41,174.56 = 16,408.56 : x
  2. Step 2: Convert to fraction form
    29,837.42/41,174.56 = 16,408.56/x
  3. Step 3: Cross multiply
    29,837.42x = 41,174.56 × 16,408.56
  4. Step 4: Simplify right side
    29,837.42x = 675,615,238.23
  5. Step 5: Solve for x
    x = 675,615,238.23/29,837.42
  6. Step 6: Final answer
    x = 22,643.22

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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.