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Finding the Fourth Proportional to 74,477.72, 111,723.87 and 24,537.44

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Solution

The fourth proportional to 74,477.72, 111,723.87 and 24,537.44 is: 36,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,477.72 : 111,723.87 = 24,537.44 : x
  2. Step 2: Convert to fraction form
    74,477.72/111,723.87 = 24,537.44/x
  3. Step 3: Cross multiply
    74,477.72x = 111,723.87 × 24,537.44
  4. Step 4: Simplify right side
    74,477.72x = 2,741,418,128.02
  5. Step 5: Solve for x
    x = 2,741,418,128.02/74,477.72
  6. Step 6: Final answer
    x = 36,808.57

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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.