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Finding the Fourth Proportional to 102,546.80, 153,820.20 and 32,447.60

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Solution

The fourth proportional to 102,546.80, 153,820.20 and 32,447.60 is: 48,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546.80 : 153,820.20 = 32,447.60 : x
  2. Step 2: Convert to fraction form
    102,546.80/153,820.20 = 32,447.60/x
  3. Step 3: Cross multiply
    102,546.80x = 153,820.20 × 32,447.60
  4. Step 4: Simplify right side
    102,546.80x = 4,991,096,321.52
  5. Step 5: Solve for x
    x = 4,991,096,321.52/102,546.80
  6. Step 6: Final answer
    x = 48,671.40

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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.