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Finding the Fourth Proportional to 96,048, 144,083.50 and 29,479.41

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Solution

The fourth proportional to 96,048, 144,083.50 and 29,479.41 is: 44,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,048 : 144,083.50 = 29,479.41 : x
  2. Step 2: Convert to fraction form
    96,048/144,083.50 = 29,479.41/x
  3. Step 3: Cross multiply
    96,048x = 144,083.50 × 29,479.41
  4. Step 4: Simplify right side
    96,048x = 4,247,496,497.04
  5. Step 5: Solve for x
    x = 4,247,496,497.04/96,048
  6. Step 6: Final answer
    x = 44,222.64

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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.