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Finding the Fourth Proportional to 72,991.13, 100,727.75 and 39,457.13

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Solution

The fourth proportional to 72,991.13, 100,727.75 and 39,457.13 is: 54,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991.13 : 100,727.75 = 39,457.13 : x
  2. Step 2: Convert to fraction form
    72,991.13/100,727.75 = 39,457.13/x
  3. Step 3: Cross multiply
    72,991.13x = 100,727.75 × 39,457.13
  4. Step 4: Simplify right side
    72,991.13x = 3,974,427,521.36
  5. Step 5: Solve for x
    x = 3,974,427,521.36/72,991.13
  6. Step 6: Final answer
    x = 54,450.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.