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Finding the Fourth Proportional to 45,902.84, 68,857.38 and 14,736.20

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Solution

The fourth proportional to 45,902.84, 68,857.38 and 14,736.20 is: 22,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,902.84 : 68,857.38 = 14,736.20 : x
  2. Step 2: Convert to fraction form
    45,902.84/68,857.38 = 14,736.20/x
  3. Step 3: Cross multiply
    45,902.84x = 68,857.38 × 14,736.20
  4. Step 4: Simplify right side
    45,902.84x = 1,014,696,123.16
  5. Step 5: Solve for x
    x = 1,014,696,123.16/45,902.84
  6. Step 6: Final answer
    x = 22,105.30

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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.