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Finding the Fourth Proportional to 45,876.82, 63,323.22 and 29,743.54

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Solution

The fourth proportional to 45,876.82, 63,323.22 and 29,743.54 is: 41,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,876.82 : 63,323.22 = 29,743.54 : x
  2. Step 2: Convert to fraction form
    45,876.82/63,323.22 = 29,743.54/x
  3. Step 3: Cross multiply
    45,876.82x = 63,323.22 × 29,743.54
  4. Step 4: Simplify right side
    45,876.82x = 1,883,456,727.00
  5. Step 5: Solve for x
    x = 1,883,456,727.00/45,876.82
  6. Step 6: Final answer
    x = 41,054.65

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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.