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Finding the Fourth Proportional to 96,309.46, 144,479.56 and 29,733.94

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Solution

The fourth proportional to 96,309.46, 144,479.56 and 29,733.94 is: 44,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,309.46 : 144,479.56 = 29,733.94 : x
  2. Step 2: Convert to fraction form
    96,309.46/144,479.56 = 29,733.94/x
  3. Step 3: Cross multiply
    96,309.46x = 144,479.56 × 29,733.94
  4. Step 4: Simplify right side
    96,309.46x = 4,295,946,568.27
  5. Step 5: Solve for x
    x = 4,295,946,568.27/96,309.46
  6. Step 6: Final answer
    x = 44,605.66

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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.