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Finding the Fourth Proportional to 30,136.53, 45,212.31 and 21,269.16

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Solution

The fourth proportional to 30,136.53, 45,212.31 and 21,269.16 is: 31,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.53 : 45,212.31 = 21,269.16 : x
  2. Step 2: Convert to fraction form
    30,136.53/45,212.31 = 21,269.16/x
  3. Step 3: Cross multiply
    30,136.53x = 45,212.31 × 21,269.16
  4. Step 4: Simplify right side
    30,136.53x = 961,627,855.36
  5. Step 5: Solve for x
    x = 961,627,855.36/30,136.53
  6. Step 6: Final answer
    x = 31,909.04

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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.