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Finding the Fourth Proportional to 54,498, 75,207.84 and 31,852.56

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Solution

The fourth proportional to 54,498, 75,207.84 and 31,852.56 is: 43,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,498 : 75,207.84 = 31,852.56 : x
  2. Step 2: Convert to fraction form
    54,498/75,207.84 = 31,852.56/x
  3. Step 3: Cross multiply
    54,498x = 75,207.84 × 31,852.56
  4. Step 4: Simplify right side
    54,498x = 2,395,562,236.07
  5. Step 5: Solve for x
    x = 2,395,562,236.07/54,498
  6. Step 6: Final answer
    x = 43,956.88

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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.