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Finding the Fourth Proportional to 92,819.75, 128,124.51 and 55,094

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Solution

The fourth proportional to 92,819.75, 128,124.51 and 55,094 is: 76,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,819.75 : 128,124.51 = 55,094 : x
  2. Step 2: Convert to fraction form
    92,819.75/128,124.51 = 55,094/x
  3. Step 3: Cross multiply
    92,819.75x = 128,124.51 × 55,094
  4. Step 4: Simplify right side
    92,819.75x = 7,058,891,753.94
  5. Step 5: Solve for x
    x = 7,058,891,753.94/92,819.75
  6. Step 6: Final answer
    x = 76,049.46

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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.