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Finding the Fourth Proportional to 56,408.42, 77,846.74 and 31,257.38

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Solution

The fourth proportional to 56,408.42, 77,846.74 and 31,257.38 is: 43,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.42 : 77,846.74 = 31,257.38 : x
  2. Step 2: Convert to fraction form
    56,408.42/77,846.74 = 31,257.38/x
  3. Step 3: Cross multiply
    56,408.42x = 77,846.74 × 31,257.38
  4. Step 4: Simplify right side
    56,408.42x = 2,433,285,133.94
  5. Step 5: Solve for x
    x = 2,433,285,133.94/56,408.42
  6. Step 6: Final answer
    x = 43,136.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.