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Finding the Fourth Proportional to 70,496.20, 97,233.78 and 59,869

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Solution

The fourth proportional to 70,496.20, 97,233.78 and 59,869 is: 82,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,496.20 : 97,233.78 = 59,869 : x
  2. Step 2: Convert to fraction form
    70,496.20/97,233.78 = 59,869/x
  3. Step 3: Cross multiply
    70,496.20x = 97,233.78 × 59,869
  4. Step 4: Simplify right side
    70,496.20x = 5,821,289,174.82
  5. Step 5: Solve for x
    x = 5,821,289,174.82/70,496.20
  6. Step 6: Final answer
    x = 82,575.93

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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.