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Finding the Fourth Proportional to 31,907.25, 47,882.75 and 11,130.75

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Solution

The fourth proportional to 31,907.25, 47,882.75 and 11,130.75 is: 16,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.25 : 47,882.75 = 11,130.75 : x
  2. Step 2: Convert to fraction form
    31,907.25/47,882.75 = 11,130.75/x
  3. Step 3: Cross multiply
    31,907.25x = 47,882.75 × 11,130.75
  4. Step 4: Simplify right side
    31,907.25x = 532,970,863.91
  5. Step 5: Solve for x
    x = 532,970,863.91/31,907.25
  6. Step 6: Final answer
    x = 16,703.75

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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.