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Finding the Fourth Proportional to 75,817.38, 104,594.16 and 43,967.83

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Solution

The fourth proportional to 75,817.38, 104,594.16 and 43,967.83 is: 60,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,817.38 : 104,594.16 = 43,967.83 : x
  2. Step 2: Convert to fraction form
    75,817.38/104,594.16 = 43,967.83/x
  3. Step 3: Cross multiply
    75,817.38x = 104,594.16 × 43,967.83
  4. Step 4: Simplify right side
    75,817.38x = 4,598,778,245.87
  5. Step 5: Solve for x
    x = 4,598,778,245.87/75,817.38
  6. Step 6: Final answer
    x = 60,655.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.