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Finding the Fourth Proportional to 31,627.46, 47,431.11 and 12,907.46

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Solution

The fourth proportional to 31,627.46, 47,431.11 and 12,907.46 is: 19,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627.46 : 47,431.11 = 12,907.46 : x
  2. Step 2: Convert to fraction form
    31,627.46/47,431.11 = 12,907.46/x
  3. Step 3: Cross multiply
    31,627.46x = 47,431.11 × 12,907.46
  4. Step 4: Simplify right side
    31,627.46x = 612,215,155.08
  5. Step 5: Solve for x
    x = 612,215,155.08/31,627.46
  6. Step 6: Final answer
    x = 19,357.08

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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.