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Finding the Fourth Proportional to 31,967.46, 47,907.38 and 20,288.88

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Solution

The fourth proportional to 31,967.46, 47,907.38 and 20,288.88 is: 30,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.46 : 47,907.38 = 20,288.88 : x
  2. Step 2: Convert to fraction form
    31,967.46/47,907.38 = 20,288.88/x
  3. Step 3: Cross multiply
    31,967.46x = 47,907.38 × 20,288.88
  4. Step 4: Simplify right side
    31,967.46x = 971,987,083.93
  5. Step 5: Solve for x
    x = 971,987,083.93/31,967.46
  6. Step 6: Final answer
    x = 30,405.51

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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.