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Finding the Fourth Proportional to 38,287.84, 57,416.72 and 16,111.84

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Solution

The fourth proportional to 38,287.84, 57,416.72 and 16,111.84 is: 24,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287.84 : 57,416.72 = 16,111.84 : x
  2. Step 2: Convert to fraction form
    38,287.84/57,416.72 = 16,111.84/x
  3. Step 3: Cross multiply
    38,287.84x = 57,416.72 × 16,111.84
  4. Step 4: Simplify right side
    38,287.84x = 925,089,005.96
  5. Step 5: Solve for x
    x = 925,089,005.96/38,287.84
  6. Step 6: Final answer
    x = 24,161.43

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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.