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Finding the Fourth Proportional to 65,033.88, 97,540.62 and 20,654.78

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Solution

The fourth proportional to 65,033.88, 97,540.62 and 20,654.78 is: 30,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,033.88 : 97,540.62 = 20,654.78 : x
  2. Step 2: Convert to fraction form
    65,033.88/97,540.62 = 20,654.78/x
  3. Step 3: Cross multiply
    65,033.88x = 97,540.62 × 20,654.78
  4. Step 4: Simplify right side
    65,033.88x = 2,014,680,047.16
  5. Step 5: Solve for x
    x = 2,014,680,047.16/65,033.88
  6. Step 6: Final answer
    x = 30,978.93

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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.