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Finding the Fourth Proportional to 101,964.96, 152,969.04 and 31,849.56

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Solution

The fourth proportional to 101,964.96, 152,969.04 and 31,849.56 is: 47,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,964.96 : 152,969.04 = 31,849.56 : x
  2. Step 2: Convert to fraction form
    101,964.96/152,969.04 = 31,849.56/x
  3. Step 3: Cross multiply
    101,964.96x = 152,969.04 × 31,849.56
  4. Step 4: Simplify right side
    101,964.96x = 4,871,996,617.62
  5. Step 5: Solve for x
    x = 4,871,996,617.62/101,964.96
  6. Step 6: Final answer
    x = 47,781.09

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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.