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Finding the Fourth Proportional to 59,542.70, 82,207.41 and 36,905.76

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Solution

The fourth proportional to 59,542.70, 82,207.41 and 36,905.76 is: 50,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,542.70 : 82,207.41 = 36,905.76 : x
  2. Step 2: Convert to fraction form
    59,542.70/82,207.41 = 36,905.76/x
  3. Step 3: Cross multiply
    59,542.70x = 82,207.41 × 36,905.76
  4. Step 4: Simplify right side
    59,542.70x = 3,033,926,943.68
  5. Step 5: Solve for x
    x = 3,033,926,943.68/59,542.70
  6. Step 6: Final answer
    x = 50,953.81

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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.