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Finding the Fourth Proportional to 50,010, 75,015.72 and 13,074

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Solution

The fourth proportional to 50,010, 75,015.72 and 13,074 is: 19,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,010 : 75,015.72 = 13,074 : x
  2. Step 2: Convert to fraction form
    50,010/75,015.72 = 13,074/x
  3. Step 3: Cross multiply
    50,010x = 75,015.72 × 13,074
  4. Step 4: Simplify right side
    50,010x = 980,755,523.28
  5. Step 5: Solve for x
    x = 980,755,523.28/50,010
  6. Step 6: Final answer
    x = 19,611.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.