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Finding the Fourth Proportional to 96,563.80, 144,860.10 and 34,229.40

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Solution

The fourth proportional to 96,563.80, 144,860.10 and 34,229.40 is: 51,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,563.80 : 144,860.10 = 34,229.40 : x
  2. Step 2: Convert to fraction form
    96,563.80/144,860.10 = 34,229.40/x
  3. Step 3: Cross multiply
    96,563.80x = 144,860.10 × 34,229.40
  4. Step 4: Simplify right side
    96,563.80x = 4,958,474,306.94
  5. Step 5: Solve for x
    x = 4,958,474,306.94/96,563.80
  6. Step 6: Final answer
    x = 51,349.20

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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.