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Finding the Fourth Proportional to 31,105, 42,924.90 and 19,927

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Solution

The fourth proportional to 31,105, 42,924.90 and 19,927 is: 27,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105 : 42,924.90 = 19,927 : x
  2. Step 2: Convert to fraction form
    31,105/42,924.90 = 19,927/x
  3. Step 3: Cross multiply
    31,105x = 42,924.90 × 19,927
  4. Step 4: Simplify right side
    31,105x = 855,364,482.30
  5. Step 5: Solve for x
    x = 855,364,482.30/31,105
  6. Step 6: Final answer
    x = 27,499.26

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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.