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Finding the Fourth Proportional to 55,722.44, 83,489.30 and 39,846.86

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Solution

The fourth proportional to 55,722.44, 83,489.30 and 39,846.86 is: 59,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,722.44 : 83,489.30 = 39,846.86 : x
  2. Step 2: Convert to fraction form
    55,722.44/83,489.30 = 39,846.86/x
  3. Step 3: Cross multiply
    55,722.44x = 83,489.30 × 39,846.86
  4. Step 4: Simplify right side
    55,722.44x = 3,326,786,448.60
  5. Step 5: Solve for x
    x = 3,326,786,448.60/55,722.44
  6. Step 6: Final answer
    x = 59,702.81

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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.