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Finding the Fourth Proportional to 96,240, 144,349.12 and 29,674.56

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Solution

The fourth proportional to 96,240, 144,349.12 and 29,674.56 is: 44,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,240 : 144,349.12 = 29,674.56 : x
  2. Step 2: Convert to fraction form
    96,240/144,349.12 = 29,674.56/x
  3. Step 3: Cross multiply
    96,240x = 144,349.12 × 29,674.56
  4. Step 4: Simplify right side
    96,240x = 4,283,496,622.39
  5. Step 5: Solve for x
    x = 4,283,496,622.39/96,240
  6. Step 6: Final answer
    x = 44,508.49

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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.