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Finding the Fourth Proportional to 42,993.97, 64,457.03 and 27,165.64

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Solution

The fourth proportional to 42,993.97, 64,457.03 and 27,165.64 is: 40,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,993.97 : 64,457.03 = 27,165.64 : x
  2. Step 2: Convert to fraction form
    42,993.97/64,457.03 = 27,165.64/x
  3. Step 3: Cross multiply
    42,993.97x = 64,457.03 × 27,165.64
  4. Step 4: Simplify right side
    42,993.97x = 1,751,016,472.45
  5. Step 5: Solve for x
    x = 1,751,016,472.45/42,993.97
  6. Step 6: Final answer
    x = 40,727.02

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Why These Related Problems?

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