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Finding the Fourth Proportional to 31,940.58, 47,904.69 and 12,214.50

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Solution

The fourth proportional to 31,940.58, 47,904.69 and 12,214.50 is: 18,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,940.58 : 47,904.69 = 12,214.50 : x
  2. Step 2: Convert to fraction form
    31,940.58/47,904.69 = 12,214.50/x
  3. Step 3: Cross multiply
    31,940.58x = 47,904.69 × 12,214.50
  4. Step 4: Simplify right side
    31,940.58x = 585,131,836.01
  5. Step 5: Solve for x
    x = 585,131,836.01/31,940.58
  6. Step 6: Final answer
    x = 18,319.39

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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.