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Finding the Fourth Proportional to 59,644.50, 82,309.41 and 34,508.58

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Solution

The fourth proportional to 59,644.50, 82,309.41 and 34,508.58 is: 47,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,644.50 : 82,309.41 = 34,508.58 : x
  2. Step 2: Convert to fraction form
    59,644.50/82,309.41 = 34,508.58/x
  3. Step 3: Cross multiply
    59,644.50x = 82,309.41 × 34,508.58
  4. Step 4: Simplify right side
    59,644.50x = 2,840,380,859.74
  5. Step 5: Solve for x
    x = 2,840,380,859.74/59,644.50
  6. Step 6: Final answer
    x = 47,621.84

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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.