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Finding the Fourth Proportional to 31,503.78, 47,204.37 and 13,478.04

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Solution

The fourth proportional to 31,503.78, 47,204.37 and 13,478.04 is: 20,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.78 : 47,204.37 = 13,478.04 : x
  2. Step 2: Convert to fraction form
    31,503.78/47,204.37 = 13,478.04/x
  3. Step 3: Cross multiply
    31,503.78x = 47,204.37 × 13,478.04
  4. Step 4: Simplify right side
    31,503.78x = 636,222,387.03
  5. Step 5: Solve for x
    x = 636,222,387.03/31,503.78
  6. Step 6: Final answer
    x = 20,195.11

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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.