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Finding the Fourth Proportional to 49,803, 68,728.14 and 29,931

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Solution

The fourth proportional to 49,803, 68,728.14 and 29,931 is: 41,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,803 : 68,728.14 = 29,931 : x
  2. Step 2: Convert to fraction form
    49,803/68,728.14 = 29,931/x
  3. Step 3: Cross multiply
    49,803x = 68,728.14 × 29,931
  4. Step 4: Simplify right side
    49,803x = 2,057,101,958.34
  5. Step 5: Solve for x
    x = 2,057,101,958.34/49,803
  6. Step 6: Final answer
    x = 41,304.78

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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.