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Finding the Fourth Proportional to 54,937.72, 82,349.12 and 25,374.94

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Solution

The fourth proportional to 54,937.72, 82,349.12 and 25,374.94 is: 38,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,937.72 : 82,349.12 = 25,374.94 : x
  2. Step 2: Convert to fraction form
    54,937.72/82,349.12 = 25,374.94/x
  3. Step 3: Cross multiply
    54,937.72x = 82,349.12 × 25,374.94
  4. Step 4: Simplify right side
    54,937.72x = 2,089,603,979.05
  5. Step 5: Solve for x
    x = 2,089,603,979.05/54,937.72
  6. Step 6: Final answer
    x = 38,035.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.