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Finding the Fourth Proportional to 31,693.43, 47,537.05 and 8,319.87

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Solution

The fourth proportional to 31,693.43, 47,537.05 and 8,319.87 is: 12,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.43 : 47,537.05 = 8,319.87 : x
  2. Step 2: Convert to fraction form
    31,693.43/47,537.05 = 8,319.87/x
  3. Step 3: Cross multiply
    31,693.43x = 47,537.05 × 8,319.87
  4. Step 4: Simplify right side
    31,693.43x = 395,502,076.18
  5. Step 5: Solve for x
    x = 395,502,076.18/31,693.43
  6. Step 6: Final answer
    x = 12,478.99

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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.