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Finding the Fourth Proportional to 35,694.42, 49,235.94 and 22,964.17

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Solution

The fourth proportional to 35,694.42, 49,235.94 and 22,964.17 is: 31,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694.42 : 49,235.94 = 22,964.17 : x
  2. Step 2: Convert to fraction form
    35,694.42/49,235.94 = 22,964.17/x
  3. Step 3: Cross multiply
    35,694.42x = 49,235.94 × 22,964.17
  4. Step 4: Simplify right side
    35,694.42x = 1,130,662,373.18
  5. Step 5: Solve for x
    x = 1,130,662,373.18/35,694.42
  6. Step 6: Final answer
    x = 31,676.17

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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.