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Finding the Fourth Proportional to 54,011.36, 74,523.72 and 31,337.22

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Solution

The fourth proportional to 54,011.36, 74,523.72 and 31,337.22 is: 43,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,011.36 : 74,523.72 = 31,337.22 : x
  2. Step 2: Convert to fraction form
    54,011.36/74,523.72 = 31,337.22/x
  3. Step 3: Cross multiply
    54,011.36x = 74,523.72 × 31,337.22
  4. Step 4: Simplify right side
    54,011.36x = 2,335,366,208.86
  5. Step 5: Solve for x
    x = 2,335,366,208.86/54,011.36
  6. Step 6: Final answer
    x = 43,238.43

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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.