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Finding the Fourth Proportional to 37,089.60, 55,638 and 10,793.76

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Solution

The fourth proportional to 37,089.60, 55,638 and 10,793.76 is: 16,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,089.60 : 55,638 = 10,793.76 : x
  2. Step 2: Convert to fraction form
    37,089.60/55,638 = 10,793.76/x
  3. Step 3: Cross multiply
    37,089.60x = 55,638 × 10,793.76
  4. Step 4: Simplify right side
    37,089.60x = 600,543,218.88
  5. Step 5: Solve for x
    x = 600,543,218.88/37,089.60
  6. Step 6: Final answer
    x = 16,191.69

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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.