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Finding the Fourth Proportional to 51,597.78, 77,400.76 and 22,015.86

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Solution

The fourth proportional to 51,597.78, 77,400.76 and 22,015.86 is: 33,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,597.78 : 77,400.76 = 22,015.86 : x
  2. Step 2: Convert to fraction form
    51,597.78/77,400.76 = 22,015.86/x
  3. Step 3: Cross multiply
    51,597.78x = 77,400.76 × 22,015.86
  4. Step 4: Simplify right side
    51,597.78x = 1,704,044,296.05
  5. Step 5: Solve for x
    x = 1,704,044,296.05/51,597.78
  6. Step 6: Final answer
    x = 33,025.54

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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.