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Finding the Fourth Proportional to 66,743.70, 92,102.31 and 36,523.02

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Solution

The fourth proportional to 66,743.70, 92,102.31 and 36,523.02 is: 50,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,743.70 : 92,102.31 = 36,523.02 : x
  2. Step 2: Convert to fraction form
    66,743.70/92,102.31 = 36,523.02/x
  3. Step 3: Cross multiply
    66,743.70x = 92,102.31 × 36,523.02
  4. Step 4: Simplify right side
    66,743.70x = 3,363,854,510.18
  5. Step 5: Solve for x
    x = 3,363,854,510.18/66,743.70
  6. Step 6: Final answer
    x = 50,399.58

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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.