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Finding the Fourth Proportional to 96,524.92, 144,751.74 and 33,328.90

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Solution

The fourth proportional to 96,524.92, 144,751.74 and 33,328.90 is: 49,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,524.92 : 144,751.74 = 33,328.90 : x
  2. Step 2: Convert to fraction form
    96,524.92/144,751.74 = 33,328.90/x
  3. Step 3: Cross multiply
    96,524.92x = 144,751.74 × 33,328.90
  4. Step 4: Simplify right side
    96,524.92x = 4,824,416,267.29
  5. Step 5: Solve for x
    x = 4,824,416,267.29/96,524.92
  6. Step 6: Final answer
    x = 49,981.04

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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.