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Finding the Fourth Proportional to 31,201.50, 46,774.44 and 11,475.30

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Solution

The fourth proportional to 31,201.50, 46,774.44 and 11,475.30 is: 17,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.50 : 46,774.44 = 11,475.30 : x
  2. Step 2: Convert to fraction form
    31,201.50/46,774.44 = 11,475.30/x
  3. Step 3: Cross multiply
    31,201.50x = 46,774.44 × 11,475.30
  4. Step 4: Simplify right side
    31,201.50x = 536,750,731.33
  5. Step 5: Solve for x
    x = 536,750,731.33/31,201.50
  6. Step 6: Final answer
    x = 17,202.72

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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.