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Finding the Fourth Proportional to 27,019.70, 40,493.10 and 19,219.40

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Solution

The fourth proportional to 27,019.70, 40,493.10 and 19,219.40 is: 28,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019.70 : 40,493.10 = 19,219.40 : x
  2. Step 2: Convert to fraction form
    27,019.70/40,493.10 = 19,219.40/x
  3. Step 3: Cross multiply
    27,019.70x = 40,493.10 × 19,219.40
  4. Step 4: Simplify right side
    27,019.70x = 778,253,086.14
  5. Step 5: Solve for x
    x = 778,253,086.14/27,019.70
  6. Step 6: Final answer
    x = 28,803.17

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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.