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Finding the Fourth Proportional to 65,161, 97,741.50 and 23,608

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Solution

The fourth proportional to 65,161, 97,741.50 and 23,608 is: 35,412

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,161 : 97,741.50 = 23,608 : x
  2. Step 2: Convert to fraction form
    65,161/97,741.50 = 23,608/x
  3. Step 3: Cross multiply
    65,161x = 97,741.50 × 23,608
  4. Step 4: Simplify right side
    65,161x = 2,307,481,332
  5. Step 5: Solve for x
    x = 2,307,481,332/65,161
  6. Step 6: Final answer
    x = 35,412

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.