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Finding the Fourth Proportional to 73,962.99, 110,950.61 and 31,844.10

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Solution

The fourth proportional to 73,962.99, 110,950.61 and 31,844.10 is: 47,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,962.99 : 110,950.61 = 31,844.10 : x
  2. Step 2: Convert to fraction form
    73,962.99/110,950.61 = 31,844.10/x
  3. Step 3: Cross multiply
    73,962.99x = 110,950.61 × 31,844.10
  4. Step 4: Simplify right side
    73,962.99x = 3,533,122,160.68
  5. Step 5: Solve for x
    x = 3,533,122,160.68/73,962.99
  6. Step 6: Final answer
    x = 47,768.78

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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.