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Finding the Fourth Proportional to 37,195.86, 55,788.93 and 16,414.50

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Solution

The fourth proportional to 37,195.86, 55,788.93 and 16,414.50 is: 24,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,195.86 : 55,788.93 = 16,414.50 : x
  2. Step 2: Convert to fraction form
    37,195.86/55,788.93 = 16,414.50/x
  3. Step 3: Cross multiply
    37,195.86x = 55,788.93 × 16,414.50
  4. Step 4: Simplify right side
    37,195.86x = 915,747,391.49
  5. Step 5: Solve for x
    x = 915,747,391.49/37,195.86
  6. Step 6: Final answer
    x = 24,619.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.