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Finding the Fourth Proportional to 21,275, 31,912.50 and 5,692.22

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Solution

The fourth proportional to 21,275, 31,912.50 and 5,692.22 is: 8,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,275 : 31,912.50 = 5,692.22 : x
  2. Step 2: Convert to fraction form
    21,275/31,912.50 = 5,692.22/x
  3. Step 3: Cross multiply
    21,275x = 31,912.50 × 5,692.22
  4. Step 4: Simplify right side
    21,275x = 181,652,970.75
  5. Step 5: Solve for x
    x = 181,652,970.75/21,275
  6. Step 6: Final answer
    x = 8,538.33

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Why These Related Problems?

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