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Finding the Fourth Proportional to 31,408.74, 43,342.29 and 19,313.82

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Solution

The fourth proportional to 31,408.74, 43,342.29 and 19,313.82 is: 26,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.74 : 43,342.29 = 19,313.82 : x
  2. Step 2: Convert to fraction form
    31,408.74/43,342.29 = 19,313.82/x
  3. Step 3: Cross multiply
    31,408.74x = 43,342.29 × 19,313.82
  4. Step 4: Simplify right side
    31,408.74x = 837,105,187.45
  5. Step 5: Solve for x
    x = 837,105,187.45/31,408.74
  6. Step 6: Final answer
    x = 26,651.98

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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.