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Finding the Fourth Proportional to 31,231.53, 46,846.86 and 7,538.86

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Solution

The fourth proportional to 31,231.53, 46,846.86 and 7,538.86 is: 11,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231.53 : 46,846.86 = 7,538.86 : x
  2. Step 2: Convert to fraction form
    31,231.53/46,846.86 = 7,538.86/x
  3. Step 3: Cross multiply
    31,231.53x = 46,846.86 × 7,538.86
  4. Step 4: Simplify right side
    31,231.53x = 353,171,918.98
  5. Step 5: Solve for x
    x = 353,171,918.98/31,231.53
  6. Step 6: Final answer
    x = 11,308.18

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Why These Related Problems?

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