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Finding the Fourth Proportional to 61,748.53, 85,213.06 and 33,454.22

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Solution

The fourth proportional to 61,748.53, 85,213.06 and 33,454.22 is: 46,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,748.53 : 85,213.06 = 33,454.22 : x
  2. Step 2: Convert to fraction form
    61,748.53/85,213.06 = 33,454.22/x
  3. Step 3: Cross multiply
    61,748.53x = 85,213.06 × 33,454.22
  4. Step 4: Simplify right side
    61,748.53x = 2,850,736,456.11
  5. Step 5: Solve for x
    x = 2,850,736,456.11/61,748.53
  6. Step 6: Final answer
    x = 46,166.87

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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.