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Finding the Fourth Proportional to 51,181.38, 70,630.56 and 29,956.50

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Solution

The fourth proportional to 51,181.38, 70,630.56 and 29,956.50 is: 41,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,181.38 : 70,630.56 = 29,956.50 : x
  2. Step 2: Convert to fraction form
    51,181.38/70,630.56 = 29,956.50/x
  3. Step 3: Cross multiply
    51,181.38x = 70,630.56 × 29,956.50
  4. Step 4: Simplify right side
    51,181.38x = 2,115,844,370.64
  5. Step 5: Solve for x
    x = 2,115,844,370.64/51,181.38
  6. Step 6: Final answer
    x = 41,340.12

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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.