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Finding the Fourth Proportional to 31,563.81, 47,362.32 and 12,857.67

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Solution

The fourth proportional to 31,563.81, 47,362.32 and 12,857.67 is: 19,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.81 : 47,362.32 = 12,857.67 : x
  2. Step 2: Convert to fraction form
    31,563.81/47,362.32 = 12,857.67/x
  3. Step 3: Cross multiply
    31,563.81x = 47,362.32 × 12,857.67
  4. Step 4: Simplify right side
    31,563.81x = 608,969,080.99
  5. Step 5: Solve for x
    x = 608,969,080.99/31,563.81
  6. Step 6: Final answer
    x = 19,293.27

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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.