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Finding the Fourth Proportional to 96,399.97, 144,606.09 and 29,834.51

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Solution

The fourth proportional to 96,399.97, 144,606.09 and 29,834.51 is: 44,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,399.97 : 144,606.09 = 29,834.51 : x
  2. Step 2: Convert to fraction form
    96,399.97/144,606.09 = 29,834.51/x
  3. Step 3: Cross multiply
    96,399.97x = 144,606.09 × 29,834.51
  4. Step 4: Simplify right side
    96,399.97x = 4,314,252,040.42
  5. Step 5: Solve for x
    x = 4,314,252,040.42/96,399.97
  6. Step 6: Final answer
    x = 44,753.66

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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.