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Finding the Fourth Proportional to 33,035.32, 49,575.54 and 13,315.42

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Solution

The fourth proportional to 33,035.32, 49,575.54 and 13,315.42 is: 19,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,035.32 : 49,575.54 = 13,315.42 : x
  2. Step 2: Convert to fraction form
    33,035.32/49,575.54 = 13,315.42/x
  3. Step 3: Cross multiply
    33,035.32x = 49,575.54 × 13,315.42
  4. Step 4: Simplify right side
    33,035.32x = 660,119,136.83
  5. Step 5: Solve for x
    x = 660,119,136.83/33,035.32
  6. Step 6: Final answer
    x = 19,982.22

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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.