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Finding the Fourth Proportional to 64,713.74, 97,093.82 and 25,299.14

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Solution

The fourth proportional to 64,713.74, 97,093.82 and 25,299.14 is: 37,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,713.74 : 97,093.82 = 25,299.14 : x
  2. Step 2: Convert to fraction form
    64,713.74/97,093.82 = 25,299.14/x
  3. Step 3: Cross multiply
    64,713.74x = 97,093.82 × 25,299.14
  4. Step 4: Simplify right side
    64,713.74x = 2,456,389,723.09
  5. Step 5: Solve for x
    x = 2,456,389,723.09/64,713.74
  6. Step 6: Final answer
    x = 37,957.78

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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.