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Finding the Fourth Proportional to 35,895.80, 49,514.15 and 23,144.24

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Solution

The fourth proportional to 35,895.80, 49,514.15 and 23,144.24 is: 31,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,895.80 : 49,514.15 = 23,144.24 : x
  2. Step 2: Convert to fraction form
    35,895.80/49,514.15 = 23,144.24/x
  3. Step 3: Cross multiply
    35,895.80x = 49,514.15 × 23,144.24
  4. Step 4: Simplify right side
    35,895.80x = 1,145,967,552.64
  5. Step 5: Solve for x
    x = 1,145,967,552.64/35,895.80
  6. Step 6: Final answer
    x = 31,924.83

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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.