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Finding the Fourth Proportional to 73,892.02, 110,821.14 and 29,506.84

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Solution

The fourth proportional to 73,892.02, 110,821.14 and 29,506.84 is: 44,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,892.02 : 110,821.14 = 29,506.84 : x
  2. Step 2: Convert to fraction form
    73,892.02/110,821.14 = 29,506.84/x
  3. Step 3: Cross multiply
    73,892.02x = 110,821.14 × 29,506.84
  4. Step 4: Simplify right side
    73,892.02x = 3,269,981,646.60
  5. Step 5: Solve for x
    x = 3,269,981,646.60/73,892.02
  6. Step 6: Final answer
    x = 44,253.52

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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.