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Finding the Fourth Proportional to 35,844.29, 53,781.13 and 15,843.21

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Solution

The fourth proportional to 35,844.29, 53,781.13 and 15,843.21 is: 23,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,844.29 : 53,781.13 = 15,843.21 : x
  2. Step 2: Convert to fraction form
    35,844.29/53,781.13 = 15,843.21/x
  3. Step 3: Cross multiply
    35,844.29x = 53,781.13 × 15,843.21
  4. Step 4: Simplify right side
    35,844.29x = 852,065,554.75
  5. Step 5: Solve for x
    x = 852,065,554.75/35,844.29
  6. Step 6: Final answer
    x = 23,771.31

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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.