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Finding the Fourth Proportional to 55,701.84, 83,624 and 47,854.56

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Solution

The fourth proportional to 55,701.84, 83,624 and 47,854.56 is: 71,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,701.84 : 83,624 = 47,854.56 : x
  2. Step 2: Convert to fraction form
    55,701.84/83,624 = 47,854.56/x
  3. Step 3: Cross multiply
    55,701.84x = 83,624 × 47,854.56
  4. Step 4: Simplify right side
    55,701.84x = 4,001,789,725.44
  5. Step 5: Solve for x
    x = 4,001,789,725.44/55,701.84
  6. Step 6: Final answer
    x = 71,843.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.