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Finding the Fourth Proportional to 66,817.56, 92,216 and 38,524.26

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Solution

The fourth proportional to 66,817.56, 92,216 and 38,524.26 is: 53,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,817.56 : 92,216 = 38,524.26 : x
  2. Step 2: Convert to fraction form
    66,817.56/92,216 = 38,524.26/x
  3. Step 3: Cross multiply
    66,817.56x = 92,216 × 38,524.26
  4. Step 4: Simplify right side
    66,817.56x = 3,552,553,160.16
  5. Step 5: Solve for x
    x = 3,552,553,160.16/66,817.56
  6. Step 6: Final answer
    x = 53,167.96

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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.