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Finding the Fourth Proportional to 37,782.38, 52,140.90 and 20,785.74

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Solution

The fourth proportional to 37,782.38, 52,140.90 and 20,785.74 is: 28,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.38 : 52,140.90 = 20,785.74 : x
  2. Step 2: Convert to fraction form
    37,782.38/52,140.90 = 20,785.74/x
  3. Step 3: Cross multiply
    37,782.38x = 52,140.90 × 20,785.74
  4. Step 4: Simplify right side
    37,782.38x = 1,083,787,190.77
  5. Step 5: Solve for x
    x = 1,083,787,190.77/37,782.38
  6. Step 6: Final answer
    x = 28,684.99

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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.