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Finding the Fourth Proportional to 31,472.40, 47,194 and 11,736.74

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Solution

The fourth proportional to 31,472.40, 47,194 and 11,736.74 is: 17,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.40 : 47,194 = 11,736.74 : x
  2. Step 2: Convert to fraction form
    31,472.40/47,194 = 11,736.74/x
  3. Step 3: Cross multiply
    31,472.40x = 47,194 × 11,736.74
  4. Step 4: Simplify right side
    31,472.40x = 553,903,707.56
  5. Step 5: Solve for x
    x = 553,903,707.56/31,472.40
  6. Step 6: Final answer
    x = 17,599.67

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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.