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Finding the Fourth Proportional to 61,743.47, 85,205.86 and 33,449.22

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Solution

The fourth proportional to 61,743.47, 85,205.86 and 33,449.22 is: 46,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,743.47 : 85,205.86 = 33,449.22 : x
  2. Step 2: Convert to fraction form
    61,743.47/85,205.86 = 33,449.22/x
  3. Step 3: Cross multiply
    61,743.47x = 85,205.86 × 33,449.22
  4. Step 4: Simplify right side
    61,743.47x = 2,850,069,472.81
  5. Step 5: Solve for x
    x = 2,850,069,472.81/61,743.47
  6. Step 6: Final answer
    x = 46,159.86

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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.