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Finding the Fourth Proportional to 37,928.40, 56,893.24 and 37,874

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Solution

The fourth proportional to 37,928.40, 56,893.24 and 37,874 is: 56,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,928.40 : 56,893.24 = 37,874 : x
  2. Step 2: Convert to fraction form
    37,928.40/56,893.24 = 37,874/x
  3. Step 3: Cross multiply
    37,928.40x = 56,893.24 × 37,874
  4. Step 4: Simplify right side
    37,928.40x = 2,154,774,571.76
  5. Step 5: Solve for x
    x = 2,154,774,571.76/37,928.40
  6. Step 6: Final answer
    x = 56,811.64

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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.