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Finding the Fourth Proportional to 59,462.36, 82,057.38 and 34,311.32

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Solution

The fourth proportional to 59,462.36, 82,057.38 and 34,311.32 is: 47,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,462.36 : 82,057.38 = 34,311.32 : x
  2. Step 2: Convert to fraction form
    59,462.36/82,057.38 = 34,311.32/x
  3. Step 3: Cross multiply
    59,462.36x = 82,057.38 × 34,311.32
  4. Step 4: Simplify right side
    59,462.36x = 2,815,497,023.54
  5. Step 5: Solve for x
    x = 2,815,497,023.54/59,462.36
  6. Step 6: Final answer
    x = 47,349.23

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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.