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Finding the Fourth Proportional to 65,321.33, 90,146.40 and 38,464.97

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Solution

The fourth proportional to 65,321.33, 90,146.40 and 38,464.97 is: 53,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,321.33 : 90,146.40 = 38,464.97 : x
  2. Step 2: Convert to fraction form
    65,321.33/90,146.40 = 38,464.97/x
  3. Step 3: Cross multiply
    65,321.33x = 90,146.40 × 38,464.97
  4. Step 4: Simplify right side
    65,321.33x = 3,467,478,571.61
  5. Step 5: Solve for x
    x = 3,467,478,571.61/65,321.33
  6. Step 6: Final answer
    x = 53,083.40

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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.