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Finding the Fourth Proportional to 37,684.70, 51,874.38 and 32,577.86

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Solution

The fourth proportional to 37,684.70, 51,874.38 and 32,577.86 is: 44,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.70 : 51,874.38 = 32,577.86 : x
  2. Step 2: Convert to fraction form
    37,684.70/51,874.38 = 32,577.86/x
  3. Step 3: Cross multiply
    37,684.70x = 51,874.38 × 32,577.86
  4. Step 4: Simplify right side
    37,684.70x = 1,689,956,289.23
  5. Step 5: Solve for x
    x = 1,689,956,289.23/37,684.70
  6. Step 6: Final answer
    x = 44,844.63

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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.