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Finding the Fourth Proportional to 61,829.52, 85,324.86 and 33,535.32

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Solution

The fourth proportional to 61,829.52, 85,324.86 and 33,535.32 is: 46,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,829.52 : 85,324.86 = 33,535.32 : x
  2. Step 2: Convert to fraction form
    61,829.52/85,324.86 = 33,535.32/x
  3. Step 3: Cross multiply
    61,829.52x = 85,324.86 × 33,535.32
  4. Step 4: Simplify right side
    61,829.52x = 2,861,396,484.06
  5. Step 5: Solve for x
    x = 2,861,396,484.06/61,829.52
  6. Step 6: Final answer
    x = 46,278.81

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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.