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Finding the Fourth Proportional to 47,483.71, 71,229.31 and 15,893.96

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Solution

The fourth proportional to 47,483.71, 71,229.31 and 15,893.96 is: 23,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,483.71 : 71,229.31 = 15,893.96 : x
  2. Step 2: Convert to fraction form
    47,483.71/71,229.31 = 15,893.96/x
  3. Step 3: Cross multiply
    47,483.71x = 71,229.31 × 15,893.96
  4. Step 4: Simplify right side
    47,483.71x = 1,132,115,408.09
  5. Step 5: Solve for x
    x = 1,132,115,408.09/47,483.71
  6. Step 6: Final answer
    x = 23,842.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.