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Finding the Fourth Proportional to 35,716.21, 53,569.04 and 9,422.80

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Solution

The fourth proportional to 35,716.21, 53,569.04 and 9,422.80 is: 14,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,716.21 : 53,569.04 = 9,422.80 : x
  2. Step 2: Convert to fraction form
    35,716.21/53,569.04 = 9,422.80/x
  3. Step 3: Cross multiply
    35,716.21x = 53,569.04 × 9,422.80
  4. Step 4: Simplify right side
    35,716.21x = 504,770,082.27
  5. Step 5: Solve for x
    x = 504,770,082.27/35,716.21
  6. Step 6: Final answer
    x = 14,132.80

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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.