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Finding the Fourth Proportional to 31,396.50, 47,116.35 and 12,928.50

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Solution

The fourth proportional to 31,396.50, 47,116.35 and 12,928.50 is: 19,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396.50 : 47,116.35 = 12,928.50 : x
  2. Step 2: Convert to fraction form
    31,396.50/47,116.35 = 12,928.50/x
  3. Step 3: Cross multiply
    31,396.50x = 47,116.35 × 12,928.50
  4. Step 4: Simplify right side
    31,396.50x = 609,143,730.98
  5. Step 5: Solve for x
    x = 609,143,730.98/31,396.50
  6. Step 6: Final answer
    x = 19,401.64

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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.