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Finding the Fourth Proportional to 35,749.50, 49,340.19 and 19,839.07

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Solution

The fourth proportional to 35,749.50, 49,340.19 and 19,839.07 is: 27,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,749.50 : 49,340.19 = 19,839.07 : x
  2. Step 2: Convert to fraction form
    35,749.50/49,340.19 = 19,839.07/x
  3. Step 3: Cross multiply
    35,749.50x = 49,340.19 × 19,839.07
  4. Step 4: Simplify right side
    35,749.50x = 978,863,483.22
  5. Step 5: Solve for x
    x = 978,863,483.22/35,749.50
  6. Step 6: Final answer
    x = 27,381.18

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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.