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Finding the Fourth Proportional to 65,166.22, 97,749.42 and 20,793.16

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Solution

The fourth proportional to 65,166.22, 97,749.42 and 20,793.16 is: 31,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,166.22 : 97,749.42 = 20,793.16 : x
  2. Step 2: Convert to fraction form
    65,166.22/97,749.42 = 20,793.16/x
  3. Step 3: Cross multiply
    65,166.22x = 97,749.42 × 20,793.16
  4. Step 4: Simplify right side
    65,166.22x = 2,032,519,329.97
  5. Step 5: Solve for x
    x = 2,032,519,329.97/65,166.22
  6. Step 6: Final answer
    x = 31,189.77

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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.