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Finding the Fourth Proportional to 45,376.82, 68,065.23 and 14,214.50

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Solution

The fourth proportional to 45,376.82, 68,065.23 and 14,214.50 is: 21,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,376.82 : 68,065.23 = 14,214.50 : x
  2. Step 2: Convert to fraction form
    45,376.82/68,065.23 = 14,214.50/x
  3. Step 3: Cross multiply
    45,376.82x = 68,065.23 × 14,214.50
  4. Step 4: Simplify right side
    45,376.82x = 967,513,211.84
  5. Step 5: Solve for x
    x = 967,513,211.84/45,376.82
  6. Step 6: Final answer
    x = 21,321.75

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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.