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Finding the Fourth Proportional to 34,206.43, 47,192.41 and 20,056.54

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Solution

The fourth proportional to 34,206.43, 47,192.41 and 20,056.54 is: 27,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.43 : 47,192.41 = 20,056.54 : x
  2. Step 2: Convert to fraction form
    34,206.43/47,192.41 = 20,056.54/x
  3. Step 3: Cross multiply
    34,206.43x = 47,192.41 × 20,056.54
  4. Step 4: Simplify right side
    34,206.43x = 946,516,458.86
  5. Step 5: Solve for x
    x = 946,516,458.86/34,206.43
  6. Step 6: Final answer
    x = 27,670.72

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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.