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Finding the Fourth Proportional to 96,535.40, 144,687.90 and 49,764.20

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Solution

The fourth proportional to 96,535.40, 144,687.90 and 49,764.20 is: 74,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,535.40 : 144,687.90 = 49,764.20 : x
  2. Step 2: Convert to fraction form
    96,535.40/144,687.90 = 49,764.20/x
  3. Step 3: Cross multiply
    96,535.40x = 144,687.90 × 49,764.20
  4. Step 4: Simplify right side
    96,535.40x = 7,200,277,593.18
  5. Step 5: Solve for x
    x = 7,200,277,593.18/96,535.40
  6. Step 6: Final answer
    x = 74,586.91

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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.