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Finding the Fourth Proportional to 65,033.87, 97,540.63 and 20,654.78

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Solution

The fourth proportional to 65,033.87, 97,540.63 and 20,654.78 is: 30,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,033.87 : 97,540.63 = 20,654.78 : x
  2. Step 2: Convert to fraction form
    65,033.87/97,540.63 = 20,654.78/x
  3. Step 3: Cross multiply
    65,033.87x = 97,540.63 × 20,654.78
  4. Step 4: Simplify right side
    65,033.87x = 2,014,680,253.71
  5. Step 5: Solve for x
    x = 2,014,680,253.71/65,033.87
  6. Step 6: Final answer
    x = 30,978.94

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1.5x scale

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.