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Finding the Fourth Proportional to 65,166, 97,749 and 23,613

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Solution

The fourth proportional to 65,166, 97,749 and 23,613 is: 35,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,166 : 97,749 = 23,613 : x
  2. Step 2: Convert to fraction form
    65,166/97,749 = 23,613/x
  3. Step 3: Cross multiply
    65,166x = 97,749 × 23,613
  4. Step 4: Simplify right side
    65,166x = 2,308,147,137
  5. Step 5: Solve for x
    x = 2,308,147,137/65,166
  6. Step 6: Final answer
    x = 35,419.50

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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.