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Finding the Fourth Proportional to 55,854.96, 83,759.76 and 20,797.08

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Solution

The fourth proportional to 55,854.96, 83,759.76 and 20,797.08 is: 31,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.96 : 83,759.76 = 20,797.08 : x
  2. Step 2: Convert to fraction form
    55,854.96/83,759.76 = 20,797.08/x
  3. Step 3: Cross multiply
    55,854.96x = 83,759.76 × 20,797.08
  4. Step 4: Simplify right side
    55,854.96x = 1,741,958,429.50
  5. Step 5: Solve for x
    x = 1,741,958,429.50/55,854.96
  6. Step 6: Final answer
    x = 31,187.18

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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.