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Finding the Fourth Proportional to 37,578.52, 51,740.33 and 31,901.50

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Solution

The fourth proportional to 37,578.52, 51,740.33 and 31,901.50 is: 43,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,578.52 : 51,740.33 = 31,901.50 : x
  2. Step 2: Convert to fraction form
    37,578.52/51,740.33 = 31,901.50/x
  3. Step 3: Cross multiply
    37,578.52x = 51,740.33 × 31,901.50
  4. Step 4: Simplify right side
    37,578.52x = 1,650,594,137.50
  5. Step 5: Solve for x
    x = 1,650,594,137.50/37,578.52
  6. Step 6: Final answer
    x = 43,923.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.