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Finding the Fourth Proportional to 35,722.77, 49,299 and 19,806.21

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Solution

The fourth proportional to 35,722.77, 49,299 and 19,806.21 is: 27,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722.77 : 49,299 = 19,806.21 : x
  2. Step 2: Convert to fraction form
    35,722.77/49,299 = 19,806.21/x
  3. Step 3: Cross multiply
    35,722.77x = 49,299 × 19,806.21
  4. Step 4: Simplify right side
    35,722.77x = 976,426,346.79
  5. Step 5: Solve for x
    x = 976,426,346.79/35,722.77
  6. Step 6: Final answer
    x = 27,333.44

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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.