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Finding the Fourth Proportional to 83,699.66, 115,525.62 and 47,910.42

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Solution

The fourth proportional to 83,699.66, 115,525.62 and 47,910.42 is: 66,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,699.66 : 115,525.62 = 47,910.42 : x
  2. Step 2: Convert to fraction form
    83,699.66/115,525.62 = 47,910.42/x
  3. Step 3: Cross multiply
    83,699.66x = 115,525.62 × 47,910.42
  4. Step 4: Simplify right side
    83,699.66x = 5,534,880,974.96
  5. Step 5: Solve for x
    x = 5,534,880,974.96/83,699.66
  6. Step 6: Final answer
    x = 66,127.88

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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.