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Finding the Fourth Proportional to 31,667.84, 43,702.44 and 19,093.40

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Solution

The fourth proportional to 31,667.84, 43,702.44 and 19,093.40 is: 26,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.84 : 43,702.44 = 19,093.40 : x
  2. Step 2: Convert to fraction form
    31,667.84/43,702.44 = 19,093.40/x
  3. Step 3: Cross multiply
    31,667.84x = 43,702.44 × 19,093.40
  4. Step 4: Simplify right side
    31,667.84x = 834,428,167.90
  5. Step 5: Solve for x
    x = 834,428,167.90/31,667.84
  6. Step 6: Final answer
    x = 26,349.39

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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.