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Finding the Fourth Proportional to 31,893.56, 47,850.59 and 9,711.23

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Solution

The fourth proportional to 31,893.56, 47,850.59 and 9,711.23 is: 14,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.56 : 47,850.59 = 9,711.23 : x
  2. Step 2: Convert to fraction form
    31,893.56/47,850.59 = 9,711.23/x
  3. Step 3: Cross multiply
    31,893.56x = 47,850.59 × 9,711.23
  4. Step 4: Simplify right side
    31,893.56x = 464,688,085.13
  5. Step 5: Solve for x
    x = 464,688,085.13/31,893.56
  6. Step 6: Final answer
    x = 14,569.97

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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.