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Finding the Fourth Proportional to 51,057.38, 70,448.76 and 29,832.55

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Solution

The fourth proportional to 51,057.38, 70,448.76 and 29,832.55 is: 41,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,057.38 : 70,448.76 = 29,832.55 : x
  2. Step 2: Convert to fraction form
    51,057.38/70,448.76 = 29,832.55/x
  3. Step 3: Cross multiply
    51,057.38x = 70,448.76 × 29,832.55
  4. Step 4: Simplify right side
    51,057.38x = 2,101,665,979.02
  5. Step 5: Solve for x
    x = 2,101,665,979.02/51,057.38
  6. Step 6: Final answer
    x = 41,162.82

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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.