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Finding the Fourth Proportional to 45,446.50, 68,172.18 and 14,284.18

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Solution

The fourth proportional to 45,446.50, 68,172.18 and 14,284.18 is: 21,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,446.50 : 68,172.18 = 14,284.18 : x
  2. Step 2: Convert to fraction form
    45,446.50/68,172.18 = 14,284.18/x
  3. Step 3: Cross multiply
    45,446.50x = 68,172.18 × 14,284.18
  4. Step 4: Simplify right side
    45,446.50x = 973,783,690.11
  5. Step 5: Solve for x
    x = 973,783,690.11/45,446.50
  6. Step 6: Final answer
    x = 21,427.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.