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Finding the Fourth Proportional to 107,660, 161,495.76 and 33,793.76

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Solution

The fourth proportional to 107,660, 161,495.76 and 33,793.76 is: 50,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,660 : 161,495.76 = 33,793.76 : x
  2. Step 2: Convert to fraction form
    107,660/161,495.76 = 33,793.76/x
  3. Step 3: Cross multiply
    107,660x = 161,495.76 × 33,793.76
  4. Step 4: Simplify right side
    107,660x = 5,457,548,954.46
  5. Step 5: Solve for x
    x = 5,457,548,954.46/107,660
  6. Step 6: Final answer
    x = 50,692.45

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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.