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Finding the Fourth Proportional to 37,129.08, 55,708.20 and 16,338

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Solution

The fourth proportional to 37,129.08, 55,708.20 and 16,338 is: 24,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129.08 : 55,708.20 = 16,338 : x
  2. Step 2: Convert to fraction form
    37,129.08/55,708.20 = 16,338/x
  3. Step 3: Cross multiply
    37,129.08x = 55,708.20 × 16,338
  4. Step 4: Simplify right side
    37,129.08x = 910,160,571.60
  5. Step 5: Solve for x
    x = 910,160,571.60/37,129.08
  6. Step 6: Final answer
    x = 24,513.42

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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.