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Finding the Fourth Proportional to 69,578.83, 96,016.89 and 38,533

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Solution

The fourth proportional to 69,578.83, 96,016.89 and 38,533 is: 53,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,578.83 : 96,016.89 = 38,533 : x
  2. Step 2: Convert to fraction form
    69,578.83/96,016.89 = 38,533/x
  3. Step 3: Cross multiply
    69,578.83x = 96,016.89 × 38,533
  4. Step 4: Simplify right side
    69,578.83x = 3,699,818,822.37
  5. Step 5: Solve for x
    x = 3,699,818,822.37/69,578.83
  6. Step 6: Final answer
    x = 53,174.49

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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.