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Finding the Fourth Proportional to 61,830.48, 85,323.78 and 33,535.56

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Solution

The fourth proportional to 61,830.48, 85,323.78 and 33,535.56 is: 46,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830.48 : 85,323.78 = 33,535.56 : x
  2. Step 2: Convert to fraction form
    61,830.48/85,323.78 = 33,535.56/x
  3. Step 3: Cross multiply
    61,830.48x = 85,323.78 × 33,535.56
  4. Step 4: Simplify right side
    61,830.48x = 2,861,380,743.62
  5. Step 5: Solve for x
    x = 2,861,380,743.62/61,830.48
  6. Step 6: Final answer
    x = 46,277.83

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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.