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Finding the Fourth Proportional to 37,461.20, 56,118.90 and 20,791.40

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Solution

The fourth proportional to 37,461.20, 56,118.90 and 20,791.40 is: 31,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,461.20 : 56,118.90 = 20,791.40 : x
  2. Step 2: Convert to fraction form
    37,461.20/56,118.90 = 20,791.40/x
  3. Step 3: Cross multiply
    37,461.20x = 56,118.90 × 20,791.40
  4. Step 4: Simplify right side
    37,461.20x = 1,166,790,497.46
  5. Step 5: Solve for x
    x = 1,166,790,497.46/37,461.20
  6. Step 6: Final answer
    x = 31,146.64

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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.