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Finding the Fourth Proportional to 35,760.96, 49,351.14 and 19,629

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Solution

The fourth proportional to 35,760.96, 49,351.14 and 19,629 is: 27,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760.96 : 49,351.14 = 19,629 : x
  2. Step 2: Convert to fraction form
    35,760.96/49,351.14 = 19,629/x
  3. Step 3: Cross multiply
    35,760.96x = 49,351.14 × 19,629
  4. Step 4: Simplify right side
    35,760.96x = 968,713,527.06
  5. Step 5: Solve for x
    x = 968,713,527.06/35,760.96
  6. Step 6: Final answer
    x = 27,088.58

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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.