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Finding the Fourth Proportional to 35,719.20, 49,292.42 and 19,803.24

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Solution

The fourth proportional to 35,719.20, 49,292.42 and 19,803.24 is: 27,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,719.20 : 49,292.42 = 19,803.24 : x
  2. Step 2: Convert to fraction form
    35,719.20/49,292.42 = 19,803.24/x
  3. Step 3: Cross multiply
    35,719.20x = 49,292.42 × 19,803.24
  4. Step 4: Simplify right side
    35,719.20x = 976,149,524.42
  5. Step 5: Solve for x
    x = 976,149,524.42/35,719.20
  6. Step 6: Final answer
    x = 27,328.43

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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.