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Finding the Fourth Proportional to 65,024.64, 97,540.30 and 20,654.86

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Solution

The fourth proportional to 65,024.64, 97,540.30 and 20,654.86 is: 30,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024.64 : 97,540.30 = 20,654.86 : x
  2. Step 2: Convert to fraction form
    65,024.64/97,540.30 = 20,654.86/x
  3. Step 3: Cross multiply
    65,024.64x = 97,540.30 × 20,654.86
  4. Step 4: Simplify right side
    65,024.64x = 2,014,681,240.86
  5. Step 5: Solve for x
    x = 2,014,681,240.86/65,024.64
  6. Step 6: Final answer
    x = 30,983.35

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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.