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Finding the Fourth Proportional to 32,841.26, 45,321.42 and 19,226.16

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Solution

The fourth proportional to 32,841.26, 45,321.42 and 19,226.16 is: 26,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.26 : 45,321.42 = 19,226.16 : x
  2. Step 2: Convert to fraction form
    32,841.26/45,321.42 = 19,226.16/x
  3. Step 3: Cross multiply
    32,841.26x = 45,321.42 × 19,226.16
  4. Step 4: Simplify right side
    32,841.26x = 871,356,872.35
  5. Step 5: Solve for x
    x = 871,356,872.35/32,841.26
  6. Step 6: Final answer
    x = 26,532.38

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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.