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Finding the Fourth Proportional to 31,592.16, 43,596.36 and 20,250

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Solution

The fourth proportional to 31,592.16, 43,596.36 and 20,250 is: 27,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.16 : 43,596.36 = 20,250 : x
  2. Step 2: Convert to fraction form
    31,592.16/43,596.36 = 20,250/x
  3. Step 3: Cross multiply
    31,592.16x = 43,596.36 × 20,250
  4. Step 4: Simplify right side
    31,592.16x = 882,826,290
  5. Step 5: Solve for x
    x = 882,826,290/31,592.16
  6. Step 6: Final answer
    x = 27,944.47

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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.