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Finding the Fourth Proportional to 37,093.60, 55,644 and 10,797.76

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Solution

The fourth proportional to 37,093.60, 55,644 and 10,797.76 is: 16,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,093.60 : 55,644 = 10,797.76 : x
  2. Step 2: Convert to fraction form
    37,093.60/55,644 = 10,797.76/x
  3. Step 3: Cross multiply
    37,093.60x = 55,644 × 10,797.76
  4. Step 4: Simplify right side
    37,093.60x = 600,830,557.44
  5. Step 5: Solve for x
    x = 600,830,557.44/37,093.60
  6. Step 6: Final answer
    x = 16,197.69

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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.