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Finding the Fourth Proportional to 37,846.21, 52,206.45 and 21,928.50

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Solution

The fourth proportional to 37,846.21, 52,206.45 and 21,928.50 is: 30,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.21 : 52,206.45 = 21,928.50 : x
  2. Step 2: Convert to fraction form
    37,846.21/52,206.45 = 21,928.50/x
  3. Step 3: Cross multiply
    37,846.21x = 52,206.45 × 21,928.50
  4. Step 4: Simplify right side
    37,846.21x = 1,144,809,138.83
  5. Step 5: Solve for x
    x = 1,144,809,138.83/37,846.21
  6. Step 6: Final answer
    x = 30,248.98

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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.