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Finding the Fourth Proportional to 66,991.26, 100,497.82 and 24,871.46

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Solution

The fourth proportional to 66,991.26, 100,497.82 and 24,871.46 is: 37,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,991.26 : 100,497.82 = 24,871.46 : x
  2. Step 2: Convert to fraction form
    66,991.26/100,497.82 = 24,871.46/x
  3. Step 3: Cross multiply
    66,991.26x = 100,497.82 × 24,871.46
  4. Step 4: Simplify right side
    66,991.26x = 2,499,527,510.22
  5. Step 5: Solve for x
    x = 2,499,527,510.22/66,991.26
  6. Step 6: Final answer
    x = 37,311.25

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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.