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Finding the Fourth Proportional to 30,752.98, 42,446.01 and 20,136.43

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Solution

The fourth proportional to 30,752.98, 42,446.01 and 20,136.43 is: 27,792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.98 : 42,446.01 = 20,136.43 : x
  2. Step 2: Convert to fraction form
    30,752.98/42,446.01 = 20,136.43/x
  3. Step 3: Cross multiply
    30,752.98x = 42,446.01 × 20,136.43
  4. Step 4: Simplify right side
    30,752.98x = 854,711,109.14
  5. Step 5: Solve for x
    x = 854,711,109.14/30,752.98
  6. Step 6: Final answer
    x = 27,792.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.