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Finding the Fourth Proportional to 31,370.34, 47,051.64 and 9,183.48

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Solution

The fourth proportional to 31,370.34, 47,051.64 and 9,183.48 is: 13,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.34 : 47,051.64 = 9,183.48 : x
  2. Step 2: Convert to fraction form
    31,370.34/47,051.64 = 9,183.48/x
  3. Step 3: Cross multiply
    31,370.34x = 47,051.64 × 9,183.48
  4. Step 4: Simplify right side
    31,370.34x = 432,097,794.91
  5. Step 5: Solve for x
    x = 432,097,794.91/31,370.34
  6. Step 6: Final answer
    x = 13,774.09

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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.