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Finding the Fourth Proportional to 31,184, 43,027.08 and 19,849.40

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Solution

The fourth proportional to 31,184, 43,027.08 and 19,849.40 is: 27,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184 : 43,027.08 = 19,849.40 : x
  2. Step 2: Convert to fraction form
    31,184/43,027.08 = 19,849.40/x
  3. Step 3: Cross multiply
    31,184x = 43,027.08 × 19,849.40
  4. Step 4: Simplify right side
    31,184x = 854,061,721.75
  5. Step 5: Solve for x
    x = 854,061,721.75/31,184
  6. Step 6: Final answer
    x = 27,387.82

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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.