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Finding the Fourth Proportional to 35,727.69, 49,301.96 and 19,812.14

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Solution

The fourth proportional to 35,727.69, 49,301.96 and 19,812.14 is: 27,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.69 : 49,301.96 = 19,812.14 : x
  2. Step 2: Convert to fraction form
    35,727.69/49,301.96 = 19,812.14/x
  3. Step 3: Cross multiply
    35,727.69x = 49,301.96 × 19,812.14
  4. Step 4: Simplify right side
    35,727.69x = 976,776,988.22
  5. Step 5: Solve for x
    x = 976,776,988.22/35,727.69
  6. Step 6: Final answer
    x = 27,339.49

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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.