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Finding the Fourth Proportional to 33,683.18, 50,459.13 and 20,502.86

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Solution

The fourth proportional to 33,683.18, 50,459.13 and 20,502.86 is: 30,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,683.18 : 50,459.13 = 20,502.86 : x
  2. Step 2: Convert to fraction form
    33,683.18/50,459.13 = 20,502.86/x
  3. Step 3: Cross multiply
    33,683.18x = 50,459.13 × 20,502.86
  4. Step 4: Simplify right side
    33,683.18x = 1,034,556,225.82
  5. Step 5: Solve for x
    x = 1,034,556,225.82/33,683.18
  6. Step 6: Final answer
    x = 30,714.33

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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.