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Finding the Fourth Proportional to 54,398.52, 75,064.30 and 31,731.48

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Solution

The fourth proportional to 54,398.52, 75,064.30 and 31,731.48 is: 43,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,398.52 : 75,064.30 = 31,731.48 : x
  2. Step 2: Convert to fraction form
    54,398.52/75,064.30 = 31,731.48/x
  3. Step 3: Cross multiply
    54,398.52x = 75,064.30 × 31,731.48
  4. Step 4: Simplify right side
    54,398.52x = 2,381,901,334.16
  5. Step 5: Solve for x
    x = 2,381,901,334.16/54,398.52
  6. Step 6: Final answer
    x = 43,786.14

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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.