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Finding the Fourth Proportional to 38,274, 52,796.10 and 23,908.92

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Solution

The fourth proportional to 38,274, 52,796.10 and 23,908.92 is: 32,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274 : 52,796.10 = 23,908.92 : x
  2. Step 2: Convert to fraction form
    38,274/52,796.10 = 23,908.92/x
  3. Step 3: Cross multiply
    38,274x = 52,796.10 × 23,908.92
  4. Step 4: Simplify right side
    38,274x = 1,262,297,731.21
  5. Step 5: Solve for x
    x = 1,262,297,731.21/38,274
  6. Step 6: Final answer
    x = 32,980.55

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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.