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Finding the Fourth Proportional to 39,575.42, 54,614.16 and 21,426.33

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Solution

The fourth proportional to 39,575.42, 54,614.16 and 21,426.33 is: 29,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,575.42 : 54,614.16 = 21,426.33 : x
  2. Step 2: Convert to fraction form
    39,575.42/54,614.16 = 21,426.33/x
  3. Step 3: Cross multiply
    39,575.42x = 54,614.16 × 21,426.33
  4. Step 4: Simplify right side
    39,575.42x = 1,170,181,014.83
  5. Step 5: Solve for x
    x = 1,170,181,014.83/39,575.42
  6. Step 6: Final answer
    x = 29,568.38

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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.