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Finding the Fourth Proportional to 54,873.62, 75,723.09 and 33,649.46

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Solution

The fourth proportional to 54,873.62, 75,723.09 and 33,649.46 is: 46,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,873.62 : 75,723.09 = 33,649.46 : x
  2. Step 2: Convert to fraction form
    54,873.62/75,723.09 = 33,649.46/x
  3. Step 3: Cross multiply
    54,873.62x = 75,723.09 × 33,649.46
  4. Step 4: Simplify right side
    54,873.62x = 2,548,041,088.03
  5. Step 5: Solve for x
    x = 2,548,041,088.03/54,873.62
  6. Step 6: Final answer
    x = 46,434.72

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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.