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Finding the Fourth Proportional to 53,657.82, 74,046.38 and 29,783.88

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Solution

The fourth proportional to 53,657.82, 74,046.38 and 29,783.88 is: 41,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,657.82 : 74,046.38 = 29,783.88 : x
  2. Step 2: Convert to fraction form
    53,657.82/74,046.38 = 29,783.88/x
  3. Step 3: Cross multiply
    53,657.82x = 74,046.38 × 29,783.88
  4. Step 4: Simplify right side
    53,657.82x = 2,205,388,496.35
  5. Step 5: Solve for x
    x = 2,205,388,496.35/53,657.82
  6. Step 6: Final answer
    x = 41,100.97

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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.