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Finding the Fourth Proportional to 61,441.92, 92,185.07 and 21,466.81

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Solution

The fourth proportional to 61,441.92, 92,185.07 and 21,466.81 is: 32,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,441.92 : 92,185.07 = 21,466.81 : x
  2. Step 2: Convert to fraction form
    61,441.92/92,185.07 = 21,466.81/x
  3. Step 3: Cross multiply
    61,441.92x = 92,185.07 × 21,466.81
  4. Step 4: Simplify right side
    61,441.92x = 1,978,919,382.53
  5. Step 5: Solve for x
    x = 1,978,919,382.53/61,441.92
  6. Step 6: Final answer
    x = 32,207.97

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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.