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Finding the Fourth Proportional to 65,023.92, 97,539.24 and 20,654.10

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Solution

The fourth proportional to 65,023.92, 97,539.24 and 20,654.10 is: 30,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.92 : 97,539.24 = 20,654.10 : x
  2. Step 2: Convert to fraction form
    65,023.92/97,539.24 = 20,654.10/x
  3. Step 3: Cross multiply
    65,023.92x = 97,539.24 × 20,654.10
  4. Step 4: Simplify right side
    65,023.92x = 2,014,585,216.88
  5. Step 5: Solve for x
    x = 2,014,585,216.88/65,023.92
  6. Step 6: Final answer
    x = 30,982.22

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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.