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Finding the Fourth Proportional to 56,408.40, 77,842.44 and 31,257.36

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Solution

The fourth proportional to 56,408.40, 77,842.44 and 31,257.36 is: 43,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.40 : 77,842.44 = 31,257.36 : x
  2. Step 2: Convert to fraction form
    56,408.40/77,842.44 = 31,257.36/x
  3. Step 3: Cross multiply
    56,408.40x = 77,842.44 × 31,257.36
  4. Step 4: Simplify right side
    56,408.40x = 2,433,149,170.36
  5. Step 5: Solve for x
    x = 2,433,149,170.36/56,408.40
  6. Step 6: Final answer
    x = 43,134.52

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