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Finding the Fourth Proportional to 61,747.78, 85,212.02 and 33,453.47

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Solution

The fourth proportional to 61,747.78, 85,212.02 and 33,453.47 is: 46,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,747.78 : 85,212.02 = 33,453.47 : x
  2. Step 2: Convert to fraction form
    61,747.78/85,212.02 = 33,453.47/x
  3. Step 3: Cross multiply
    61,747.78x = 85,212.02 × 33,453.47
  4. Step 4: Simplify right side
    61,747.78x = 2,850,637,412.28
  5. Step 5: Solve for x
    x = 2,850,637,412.28/61,747.78
  6. Step 6: Final answer
    x = 46,165.83

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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.