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Finding the Fourth Proportional to 67,982.71, 101,755.71 and 36,313.59

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Solution

The fourth proportional to 67,982.71, 101,755.71 and 36,313.59 is: 54,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,982.71 : 101,755.71 = 36,313.59 : x
  2. Step 2: Convert to fraction form
    67,982.71/101,755.71 = 36,313.59/x
  3. Step 3: Cross multiply
    67,982.71x = 101,755.71 × 36,313.59
  4. Step 4: Simplify right side
    67,982.71x = 3,695,114,533.54
  5. Step 5: Solve for x
    x = 3,695,114,533.54/67,982.71
  6. Step 6: Final answer
    x = 54,353.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.