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Finding the Fourth Proportional to 65,109, 89,850.42 and 35,301

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Solution

The fourth proportional to 65,109, 89,850.42 and 35,301 is: 48,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,109 : 89,850.42 = 35,301 : x
  2. Step 2: Convert to fraction form
    65,109/89,850.42 = 35,301/x
  3. Step 3: Cross multiply
    65,109x = 89,850.42 × 35,301
  4. Step 4: Simplify right side
    65,109x = 3,171,809,676.42
  5. Step 5: Solve for x
    x = 3,171,809,676.42/65,109
  6. Step 6: Final answer
    x = 48,715.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.