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Finding the Fourth Proportional to 54,293.76, 74,923.38 and 31,634.01

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Solution

The fourth proportional to 54,293.76, 74,923.38 and 31,634.01 is: 43,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,293.76 : 74,923.38 = 31,634.01 : x
  2. Step 2: Convert to fraction form
    54,293.76/74,923.38 = 31,634.01/x
  3. Step 3: Cross multiply
    54,293.76x = 74,923.38 × 31,634.01
  4. Step 4: Simplify right side
    54,293.76x = 2,370,126,952.15
  5. Step 5: Solve for x
    x = 2,370,126,952.15/54,293.76
  6. Step 6: Final answer
    x = 43,653.76

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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.