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Finding the Fourth Proportional to 51,584.22, 77,447.61 and 26,644.86

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Solution

The fourth proportional to 51,584.22, 77,447.61 and 26,644.86 is: 40,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,584.22 : 77,447.61 = 26,644.86 : x
  2. Step 2: Convert to fraction form
    51,584.22/77,447.61 = 26,644.86/x
  3. Step 3: Cross multiply
    51,584.22x = 77,447.61 × 26,644.86
  4. Step 4: Simplify right side
    51,584.22x = 2,063,580,725.78
  5. Step 5: Solve for x
    x = 2,063,580,725.78/51,584.22
  6. Step 6: Final answer
    x = 40,004.11

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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.