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Finding the Fourth Proportional to 31,424.48, 47,139.60 and 8,051.12

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Solution

The fourth proportional to 31,424.48, 47,139.60 and 8,051.12 is: 12,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.48 : 47,139.60 = 8,051.12 : x
  2. Step 2: Convert to fraction form
    31,424.48/47,139.60 = 8,051.12/x
  3. Step 3: Cross multiply
    31,424.48x = 47,139.60 × 8,051.12
  4. Step 4: Simplify right side
    31,424.48x = 379,526,576.35
  5. Step 5: Solve for x
    x = 379,526,576.35/31,424.48
  6. Step 6: Final answer
    x = 12,077.42

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