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Finding the Fourth Proportional to 45,376.32, 68,070.96 and 14,214

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Solution

The fourth proportional to 45,376.32, 68,070.96 and 14,214 is: 21,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,376.32 : 68,070.96 = 14,214 : x
  2. Step 2: Convert to fraction form
    45,376.32/68,070.96 = 14,214/x
  3. Step 3: Cross multiply
    45,376.32x = 68,070.96 × 14,214
  4. Step 4: Simplify right side
    45,376.32x = 967,560,625.44
  5. Step 5: Solve for x
    x = 967,560,625.44/45,376.32
  6. Step 6: Final answer
    x = 21,323.03

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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.