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Finding the Fourth Proportional to 43,641.34, 65,452.76 and 19,942.16

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Solution

The fourth proportional to 43,641.34, 65,452.76 and 19,942.16 is: 29,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,641.34 : 65,452.76 = 19,942.16 : x
  2. Step 2: Convert to fraction form
    43,641.34/65,452.76 = 19,942.16/x
  3. Step 3: Cross multiply
    43,641.34x = 65,452.76 × 19,942.16
  4. Step 4: Simplify right side
    43,641.34x = 1,305,269,412.36
  5. Step 5: Solve for x
    x = 1,305,269,412.36/43,641.34
  6. Step 6: Final answer
    x = 29,909.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.