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Finding the Fourth Proportional to 61,743.40, 85,205.92 and 33,449.08

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Solution

The fourth proportional to 61,743.40, 85,205.92 and 33,449.08 is: 46,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,743.40 : 85,205.92 = 33,449.08 : x
  2. Step 2: Convert to fraction form
    61,743.40/85,205.92 = 33,449.08/x
  3. Step 3: Cross multiply
    61,743.40x = 85,205.92 × 33,449.08
  4. Step 4: Simplify right side
    61,743.40x = 2,850,059,634.55
  5. Step 5: Solve for x
    x = 2,850,059,634.55/61,743.40
  6. Step 6: Final answer
    x = 46,159.75

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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.