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Finding the Fourth Proportional to 61,704.32, 85,151.84 and 33,409.92

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Solution

The fourth proportional to 61,704.32, 85,151.84 and 33,409.92 is: 46,105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,704.32 : 85,151.84 = 33,409.92 : x
  2. Step 2: Convert to fraction form
    61,704.32/85,151.84 = 33,409.92/x
  3. Step 3: Cross multiply
    61,704.32x = 85,151.84 × 33,409.92
  4. Step 4: Simplify right side
    61,704.32x = 2,844,916,162.25
  5. Step 5: Solve for x
    x = 2,844,916,162.25/61,704.32
  6. Step 6: Final answer
    x = 46,105.62

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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.