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Finding the Fourth Proportional to 35,986.98, 49,662.81 and 20,073

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Solution

The fourth proportional to 35,986.98, 49,662.81 and 20,073 is: 27,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986.98 : 49,662.81 = 20,073 : x
  2. Step 2: Convert to fraction form
    35,986.98/49,662.81 = 20,073/x
  3. Step 3: Cross multiply
    35,986.98x = 49,662.81 × 20,073
  4. Step 4: Simplify right side
    35,986.98x = 996,881,585.13
  5. Step 5: Solve for x
    x = 996,881,585.13/35,986.98
  6. Step 6: Final answer
    x = 27,701.17

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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.