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Finding the Fourth Proportional to 75,524.70, 104,330.34 and 71,538.96

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Solution

The fourth proportional to 75,524.70, 104,330.34 and 71,538.96 is: 98,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524.70 : 104,330.34 = 71,538.96 : x
  2. Step 2: Convert to fraction form
    75,524.70/104,330.34 = 71,538.96/x
  3. Step 3: Cross multiply
    75,524.70x = 104,330.34 × 71,538.96
  4. Step 4: Simplify right side
    75,524.70x = 7,463,684,020.05
  5. Step 5: Solve for x
    x = 7,463,684,020.05/75,524.70
  6. Step 6: Final answer
    x = 98,824.41

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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.