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Finding the Fourth Proportional to 34,077.30, 47,027.16 and 18,970.62

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Solution

The fourth proportional to 34,077.30, 47,027.16 and 18,970.62 is: 26,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077.30 : 47,027.16 = 18,970.62 : x
  2. Step 2: Convert to fraction form
    34,077.30/47,027.16 = 18,970.62/x
  3. Step 3: Cross multiply
    34,077.30x = 47,027.16 × 18,970.62
  4. Step 4: Simplify right side
    34,077.30x = 892,134,382.04
  5. Step 5: Solve for x
    x = 892,134,382.04/34,077.30
  6. Step 6: Final answer
    x = 26,179.73

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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.