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Finding the Fourth Proportional to 96,109.16, 144,215.44 and 39,988

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Solution

The fourth proportional to 96,109.16, 144,215.44 and 39,988 is: 60,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,109.16 : 144,215.44 = 39,988 : x
  2. Step 2: Convert to fraction form
    96,109.16/144,215.44 = 39,988/x
  3. Step 3: Cross multiply
    96,109.16x = 144,215.44 × 39,988
  4. Step 4: Simplify right side
    96,109.16x = 5,766,887,014.72
  5. Step 5: Solve for x
    x = 5,766,887,014.72/96,109.16
  6. Step 6: Final answer
    x = 60,003.51

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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.