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Finding the Fourth Proportional to 31,736.32, 47,611.14 and 9,551.32

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Solution

The fourth proportional to 31,736.32, 47,611.14 and 9,551.32 is: 14,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,736.32 : 47,611.14 = 9,551.32 : x
  2. Step 2: Convert to fraction form
    31,736.32/47,611.14 = 9,551.32/x
  3. Step 3: Cross multiply
    31,736.32x = 47,611.14 × 9,551.32
  4. Step 4: Simplify right side
    31,736.32x = 454,749,233.70
  5. Step 5: Solve for x
    x = 454,749,233.70/31,736.32
  6. Step 6: Final answer
    x = 14,328.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.