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Finding the Fourth Proportional to 61,782.57, 85,259.86 and 33,488.26

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Solution

The fourth proportional to 61,782.57, 85,259.86 and 33,488.26 is: 46,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782.57 : 85,259.86 = 33,488.26 : x
  2. Step 2: Convert to fraction form
    61,782.57/85,259.86 = 33,488.26/x
  3. Step 3: Cross multiply
    61,782.57x = 85,259.86 × 33,488.26
  4. Step 4: Simplify right side
    61,782.57x = 2,855,204,062.37
  5. Step 5: Solve for x
    x = 2,855,204,062.37/61,782.57
  6. Step 6: Final answer
    x = 46,213.75

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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.