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Finding the Fourth Proportional to 96,498.70, 144,758.75 and 33,311.67

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Solution

The fourth proportional to 96,498.70, 144,758.75 and 33,311.67 is: 49,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,498.70 : 144,758.75 = 33,311.67 : x
  2. Step 2: Convert to fraction form
    96,498.70/144,758.75 = 33,311.67/x
  3. Step 3: Cross multiply
    96,498.70x = 144,758.75 × 33,311.67
  4. Step 4: Simplify right side
    96,498.70x = 4,822,155,709.61
  5. Step 5: Solve for x
    x = 4,822,155,709.61/96,498.70
  6. Step 6: Final answer
    x = 49,971.20

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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.