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Finding the Fourth Proportional to 65,201.60, 97,809.60 and 20,820.80

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Solution

The fourth proportional to 65,201.60, 97,809.60 and 20,820.80 is: 31,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.60 : 97,809.60 = 20,820.80 : x
  2. Step 2: Convert to fraction form
    65,201.60/97,809.60 = 20,820.80/x
  3. Step 3: Cross multiply
    65,201.60x = 97,809.60 × 20,820.80
  4. Step 4: Simplify right side
    65,201.60x = 2,036,474,119.68
  5. Step 5: Solve for x
    x = 2,036,474,119.68/65,201.60
  6. Step 6: Final answer
    x = 31,233.50

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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.