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Finding the Fourth Proportional to 31,105.25, 42,925.25 and 19,927.25

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Solution

The fourth proportional to 31,105.25, 42,925.25 and 19,927.25 is: 27,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.25 : 42,925.25 = 19,927.25 : x
  2. Step 2: Convert to fraction form
    31,105.25/42,925.25 = 19,927.25/x
  3. Step 3: Cross multiply
    31,105.25x = 42,925.25 × 19,927.25
  4. Step 4: Simplify right side
    31,105.25x = 855,382,088.43
  5. Step 5: Solve for x
    x = 855,382,088.43/31,105.25
  6. Step 6: Final answer
    x = 27,499.61

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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.