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Finding the Fourth Proportional to 45,084.84, 67,623.30 and 13,917

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Solution

The fourth proportional to 45,084.84, 67,623.30 and 13,917 is: 20,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,084.84 : 67,623.30 = 13,917 : x
  2. Step 2: Convert to fraction form
    45,084.84/67,623.30 = 13,917/x
  3. Step 3: Cross multiply
    45,084.84x = 67,623.30 × 13,917
  4. Step 4: Simplify right side
    45,084.84x = 941,113,466.10
  5. Step 5: Solve for x
    x = 941,113,466.10/45,084.84
  6. Step 6: Final answer
    x = 20,874.28

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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.