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Finding the Fourth Proportional to 123,028.74, 184,509.96 and 51,951.86

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Solution

The fourth proportional to 123,028.74, 184,509.96 and 51,951.86 is: 77,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,028.74 : 184,509.96 = 51,951.86 : x
  2. Step 2: Convert to fraction form
    123,028.74/184,509.96 = 51,951.86/x
  3. Step 3: Cross multiply
    123,028.74x = 184,509.96 × 51,951.86
  4. Step 4: Simplify right side
    123,028.74x = 9,585,635,610.53
  5. Step 5: Solve for x
    x = 9,585,635,610.53/123,028.74
  6. Step 6: Final answer
    x = 77,913.79

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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.