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Finding the Fourth Proportional to 72,095.76, 107,998.62 and 35,963.28

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Solution

The fourth proportional to 72,095.76, 107,998.62 and 35,963.28 is: 53,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,095.76 : 107,998.62 = 35,963.28 : x
  2. Step 2: Convert to fraction form
    72,095.76/107,998.62 = 35,963.28/x
  3. Step 3: Cross multiply
    72,095.76x = 107,998.62 × 35,963.28
  4. Step 4: Simplify right side
    72,095.76x = 3,883,984,610.67
  5. Step 5: Solve for x
    x = 3,883,984,610.67/72,095.76
  6. Step 6: Final answer
    x = 53,872.58

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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.