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Finding the Fourth Proportional to 61,609.21, 85,020.74 and 33,314.90

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Solution

The fourth proportional to 61,609.21, 85,020.74 and 33,314.90 is: 45,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,609.21 : 85,020.74 = 33,314.90 : x
  2. Step 2: Convert to fraction form
    61,609.21/85,020.74 = 33,314.90/x
  3. Step 3: Cross multiply
    61,609.21x = 85,020.74 × 33,314.90
  4. Step 4: Simplify right side
    61,609.21x = 2,832,456,984.28
  5. Step 5: Solve for x
    x = 2,832,456,984.28/61,609.21
  6. Step 6: Final answer
    x = 45,974.57

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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.