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Finding the Fourth Proportional to 54,360, 75,016.94 and 31,714.56

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Solution

The fourth proportional to 54,360, 75,016.94 and 31,714.56 is: 43,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,360 : 75,016.94 = 31,714.56 : x
  2. Step 2: Convert to fraction form
    54,360/75,016.94 = 31,714.56/x
  3. Step 3: Cross multiply
    54,360x = 75,016.94 × 31,714.56
  4. Step 4: Simplify right side
    54,360x = 2,379,129,086.07
  5. Step 5: Solve for x
    x = 2,379,129,086.07/54,360
  6. Step 6: Final answer
    x = 43,766.17

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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.