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Finding the Fourth Proportional to 61,704.24, 85,151.92 and 33,410

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Solution

The fourth proportional to 61,704.24, 85,151.92 and 33,410 is: 46,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,704.24 : 85,151.92 = 33,410 : x
  2. Step 2: Convert to fraction form
    61,704.24/85,151.92 = 33,410/x
  3. Step 3: Cross multiply
    61,704.24x = 85,151.92 × 33,410
  4. Step 4: Simplify right side
    61,704.24x = 2,844,925,647.20
  5. Step 5: Solve for x
    x = 2,844,925,647.20/61,704.24
  6. Step 6: Final answer
    x = 46,105.84

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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.