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Finding the Fourth Proportional to 37,378.80, 51,586.86 and 23,035.74

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Solution

The fourth proportional to 37,378.80, 51,586.86 and 23,035.74 is: 31,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,378.80 : 51,586.86 = 23,035.74 : x
  2. Step 2: Convert to fraction form
    37,378.80/51,586.86 = 23,035.74/x
  3. Step 3: Cross multiply
    37,378.80x = 51,586.86 × 23,035.74
  4. Step 4: Simplify right side
    37,378.80x = 1,188,341,494.38
  5. Step 5: Solve for x
    x = 1,188,341,494.38/37,378.80
  6. Step 6: Final answer
    x = 31,791.86

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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.