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Finding the Fourth Proportional to 65,164.95, 97,727.93 and 33,983.19

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Solution

The fourth proportional to 65,164.95, 97,727.93 and 33,983.19 is: 50,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.95 : 97,727.93 = 33,983.19 : x
  2. Step 2: Convert to fraction form
    65,164.95/97,727.93 = 33,983.19/x
  3. Step 3: Cross multiply
    65,164.95x = 97,727.93 × 33,983.19
  4. Step 4: Simplify right side
    65,164.95x = 3,321,106,643.58
  5. Step 5: Solve for x
    x = 3,321,106,643.58/65,164.95
  6. Step 6: Final answer
    x = 50,964.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.