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Finding the Fourth Proportional to 45,834.80, 68,753.82 and 14,666

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Solution

The fourth proportional to 45,834.80, 68,753.82 and 14,666 is: 21,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,834.80 : 68,753.82 = 14,666 : x
  2. Step 2: Convert to fraction form
    45,834.80/68,753.82 = 14,666/x
  3. Step 3: Cross multiply
    45,834.80x = 68,753.82 × 14,666
  4. Step 4: Simplify right side
    45,834.80x = 1,008,343,524.12
  5. Step 5: Solve for x
    x = 1,008,343,524.12/45,834.80
  6. Step 6: Final answer
    x = 21,999.52

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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.