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Finding the Fourth Proportional to 31,806.52, 47,709.78 and 13,085.80

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Solution

The fourth proportional to 31,806.52, 47,709.78 and 13,085.80 is: 19,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.52 : 47,709.78 = 13,085.80 : x
  2. Step 2: Convert to fraction form
    31,806.52/47,709.78 = 13,085.80/x
  3. Step 3: Cross multiply
    31,806.52x = 47,709.78 × 13,085.80
  4. Step 4: Simplify right side
    31,806.52x = 624,320,639.12
  5. Step 5: Solve for x
    x = 624,320,639.12/31,806.52
  6. Step 6: Final answer
    x = 19,628.70

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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.