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Finding the Fourth Proportional to 65,177, 89,944.26 and 35,369

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Solution

The fourth proportional to 65,177, 89,944.26 and 35,369 is: 48,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,177 : 89,944.26 = 35,369 : x
  2. Step 2: Convert to fraction form
    65,177/89,944.26 = 35,369/x
  3. Step 3: Cross multiply
    65,177x = 89,944.26 × 35,369
  4. Step 4: Simplify right side
    65,177x = 3,181,238,531.94
  5. Step 5: Solve for x
    x = 3,181,238,531.94/65,177
  6. Step 6: Final answer
    x = 48,809.22

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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.