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Finding the Fourth Proportional to 35,510.88, 49,022.74 and 22,086.46

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Solution

The fourth proportional to 35,510.88, 49,022.74 and 22,086.46 is: 30,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510.88 : 49,022.74 = 22,086.46 : x
  2. Step 2: Convert to fraction form
    35,510.88/49,022.74 = 22,086.46/x
  3. Step 3: Cross multiply
    35,510.88x = 49,022.74 × 22,086.46
  4. Step 4: Simplify right side
    35,510.88x = 1,082,738,786.10
  5. Step 5: Solve for x
    x = 1,082,738,786.10/35,510.88
  6. Step 6: Final answer
    x = 30,490.34

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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.