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Finding the Fourth Proportional to 96,311.87, 144,431.88 and 33,114.10

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Solution

The fourth proportional to 96,311.87, 144,431.88 and 33,114.10 is: 49,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,311.87 : 144,431.88 = 33,114.10 : x
  2. Step 2: Convert to fraction form
    96,311.87/144,431.88 = 33,114.10/x
  3. Step 3: Cross multiply
    96,311.87x = 144,431.88 × 33,114.10
  4. Step 4: Simplify right side
    96,311.87x = 4,782,731,717.51
  5. Step 5: Solve for x
    x = 4,782,731,717.51/96,311.87
  6. Step 6: Final answer
    x = 49,658.80

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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.