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Finding the Fourth Proportional to 53,808, 74,234.99 and 33,657.23

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Solution

The fourth proportional to 53,808, 74,234.99 and 33,657.23 is: 46,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,808 : 74,234.99 = 33,657.23 : x
  2. Step 2: Convert to fraction form
    53,808/74,234.99 = 33,657.23/x
  3. Step 3: Cross multiply
    53,808x = 74,234.99 × 33,657.23
  4. Step 4: Simplify right side
    53,808x = 2,498,543,593.02
  5. Step 5: Solve for x
    x = 2,498,543,593.02/53,808
  6. Step 6: Final answer
    x = 46,434.43

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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.