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Finding the Fourth Proportional to 34,206.42, 47,212.74 and 20,063.82

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Solution

The fourth proportional to 34,206.42, 47,212.74 and 20,063.82 is: 27,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.42 : 47,212.74 = 20,063.82 : x
  2. Step 2: Convert to fraction form
    34,206.42/47,212.74 = 20,063.82/x
  3. Step 3: Cross multiply
    34,206.42x = 47,212.74 × 20,063.82
  4. Step 4: Simplify right side
    34,206.42x = 947,267,917.07
  5. Step 5: Solve for x
    x = 947,267,917.07/34,206.42
  6. Step 6: Final answer
    x = 27,692.69

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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.