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Finding the Fourth Proportional to 96,105.66, 144,210.18 and 39,984.48

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Solution

The fourth proportional to 96,105.66, 144,210.18 and 39,984.48 is: 59,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,105.66 : 144,210.18 = 39,984.48 : x
  2. Step 2: Convert to fraction form
    96,105.66/144,210.18 = 39,984.48/x
  3. Step 3: Cross multiply
    96,105.66x = 144,210.18 × 39,984.48
  4. Step 4: Simplify right side
    96,105.66x = 5,766,169,058.01
  5. Step 5: Solve for x
    x = 5,766,169,058.01/96,105.66
  6. Step 6: Final answer
    x = 59,998.23

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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.