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Finding the Fourth Proportional to 36,542.14, 50,422.74 and 21,429.10

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Solution

The fourth proportional to 36,542.14, 50,422.74 and 21,429.10 is: 29,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,542.14 : 50,422.74 = 21,429.10 : x
  2. Step 2: Convert to fraction form
    36,542.14/50,422.74 = 21,429.10/x
  3. Step 3: Cross multiply
    36,542.14x = 50,422.74 × 21,429.10
  4. Step 4: Simplify right side
    36,542.14x = 1,080,513,937.73
  5. Step 5: Solve for x
    x = 1,080,513,937.73/36,542.14
  6. Step 6: Final answer
    x = 29,568.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.