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Finding the Fourth Proportional to 30,016.85, 41,422.10 and 19,412.51

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Solution

The fourth proportional to 30,016.85, 41,422.10 and 19,412.51 is: 26,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.85 : 41,422.10 = 19,412.51 : x
  2. Step 2: Convert to fraction form
    30,016.85/41,422.10 = 19,412.51/x
  3. Step 3: Cross multiply
    30,016.85x = 41,422.10 × 19,412.51
  4. Step 4: Simplify right side
    30,016.85x = 804,106,626.30
  5. Step 5: Solve for x
    x = 804,106,626.30/30,016.85
  6. Step 6: Final answer
    x = 26,788.51

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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.