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Finding the Fourth Proportional to 50,784.76, 76,192.80 and 22,728.52

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Solution

The fourth proportional to 50,784.76, 76,192.80 and 22,728.52 is: 34,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784.76 : 76,192.80 = 22,728.52 : x
  2. Step 2: Convert to fraction form
    50,784.76/76,192.80 = 22,728.52/x
  3. Step 3: Cross multiply
    50,784.76x = 76,192.80 × 22,728.52
  4. Step 4: Simplify right side
    50,784.76x = 1,731,749,578.66
  5. Step 5: Solve for x
    x = 1,731,749,578.66/50,784.76
  6. Step 6: Final answer
    x = 34,099.79

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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.