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Finding the Fourth Proportional to 54,727.68, 75,514.74 and 31,749.18

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Solution

The fourth proportional to 54,727.68, 75,514.74 and 31,749.18 is: 43,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,727.68 : 75,514.74 = 31,749.18 : x
  2. Step 2: Convert to fraction form
    54,727.68/75,514.74 = 31,749.18/x
  3. Step 3: Cross multiply
    54,727.68x = 75,514.74 × 31,749.18
  4. Step 4: Simplify right side
    54,727.68x = 2,397,531,072.91
  5. Step 5: Solve for x
    x = 2,397,531,072.91/54,727.68
  6. Step 6: Final answer
    x = 43,808.38

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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.