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Finding the Fourth Proportional to 96,475.20, 144,712.80 and 29,914.80

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Solution

The fourth proportional to 96,475.20, 144,712.80 and 29,914.80 is: 44,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,475.20 : 144,712.80 = 29,914.80 : x
  2. Step 2: Convert to fraction form
    96,475.20/144,712.80 = 29,914.80/x
  3. Step 3: Cross multiply
    96,475.20x = 144,712.80 × 29,914.80
  4. Step 4: Simplify right side
    96,475.20x = 4,329,054,469.44
  5. Step 5: Solve for x
    x = 4,329,054,469.44/96,475.20
  6. Step 6: Final answer
    x = 44,872.20

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1.5x scale

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.