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Finding the Fourth Proportional to 72,286.30, 108,408.60 and 24,899.47

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Solution

The fourth proportional to 72,286.30, 108,408.60 and 24,899.47 is: 37,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,286.30 : 108,408.60 = 24,899.47 : x
  2. Step 2: Convert to fraction form
    72,286.30/108,408.60 = 24,899.47/x
  3. Step 3: Cross multiply
    72,286.30x = 108,408.60 × 24,899.47
  4. Step 4: Simplify right side
    72,286.30x = 2,699,316,683.44
  5. Step 5: Solve for x
    x = 2,699,316,683.44/72,286.30
  6. Step 6: Final answer
    x = 37,342.02

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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.