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Finding the Fourth Proportional to 55,692.92, 76,851.24 and 31,819.52

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Solution

The fourth proportional to 55,692.92, 76,851.24 and 31,819.52 is: 43,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692.92 : 76,851.24 = 31,819.52 : x
  2. Step 2: Convert to fraction form
    55,692.92/76,851.24 = 31,819.52/x
  3. Step 3: Cross multiply
    55,692.92x = 76,851.24 × 31,819.52
  4. Step 4: Simplify right side
    55,692.92x = 2,445,369,568.20
  5. Step 5: Solve for x
    x = 2,445,369,568.20/55,692.92
  6. Step 6: Final answer
    x = 43,908.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.