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Finding the Fourth Proportional to 55,218.53, 82,701.70 and 32,986.31

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Solution

The fourth proportional to 55,218.53, 82,701.70 and 32,986.31 is: 49,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,218.53 : 82,701.70 = 32,986.31 : x
  2. Step 2: Convert to fraction form
    55,218.53/82,701.70 = 32,986.31/x
  3. Step 3: Cross multiply
    55,218.53x = 82,701.70 × 32,986.31
  4. Step 4: Simplify right side
    55,218.53x = 2,728,023,417.75
  5. Step 5: Solve for x
    x = 2,728,023,417.75/55,218.53
  6. Step 6: Final answer
    x = 49,404.13

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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.