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Finding the Fourth Proportional to 31,771.66, 43,846.05 and 19,193.98

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Solution

The fourth proportional to 31,771.66, 43,846.05 and 19,193.98 is: 26,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.66 : 43,846.05 = 19,193.98 : x
  2. Step 2: Convert to fraction form
    31,771.66/43,846.05 = 19,193.98/x
  3. Step 3: Cross multiply
    31,771.66x = 43,846.05 × 19,193.98
  4. Step 4: Simplify right side
    31,771.66x = 841,580,169.14
  5. Step 5: Solve for x
    x = 841,580,169.14/31,771.66
  6. Step 6: Final answer
    x = 26,488.39

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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.