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Finding the Fourth Proportional to 30,085.92, 45,136.08 and 9,309.42

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Solution

The fourth proportional to 30,085.92, 45,136.08 and 9,309.42 is: 13,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085.92 : 45,136.08 = 9,309.42 : x
  2. Step 2: Convert to fraction form
    30,085.92/45,136.08 = 9,309.42/x
  3. Step 3: Cross multiply
    30,085.92x = 45,136.08 × 9,309.42
  4. Step 4: Simplify right side
    30,085.92x = 420,190,725.87
  5. Step 5: Solve for x
    x = 420,190,725.87/30,085.92
  6. Step 6: Final answer
    x = 13,966.36

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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.