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Finding the Fourth Proportional to 70,727.11, 97,601.46 and 38,896

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Solution

The fourth proportional to 70,727.11, 97,601.46 and 38,896 is: 53,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,727.11 : 97,601.46 = 38,896 : x
  2. Step 2: Convert to fraction form
    70,727.11/97,601.46 = 38,896/x
  3. Step 3: Cross multiply
    70,727.11x = 97,601.46 × 38,896
  4. Step 4: Simplify right side
    70,727.11x = 3,796,306,193.68
  5. Step 5: Solve for x
    x = 3,796,306,193.68/70,727.11
  6. Step 6: Final answer
    x = 53,675.41

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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.