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Finding the Fourth Proportional to 73,242.25, 109,871.42 and 23,310.65

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Solution

The fourth proportional to 73,242.25, 109,871.42 and 23,310.65 is: 34,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242.25 : 109,871.42 = 23,310.65 : x
  2. Step 2: Convert to fraction form
    73,242.25/109,871.42 = 23,310.65/x
  3. Step 3: Cross multiply
    73,242.25x = 109,871.42 × 23,310.65
  4. Step 4: Simplify right side
    73,242.25x = 2,561,174,140.69
  5. Step 5: Solve for x
    x = 2,561,174,140.69/73,242.25
  6. Step 6: Final answer
    x = 34,968.53

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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.