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Finding the Fourth Proportional to 32,201.20, 48,301.80 and 8,827.60

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Solution

The fourth proportional to 32,201.20, 48,301.80 and 8,827.60 is: 13,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.20 : 48,301.80 = 8,827.60 : x
  2. Step 2: Convert to fraction form
    32,201.20/48,301.80 = 8,827.60/x
  3. Step 3: Cross multiply
    32,201.20x = 48,301.80 × 8,827.60
  4. Step 4: Simplify right side
    32,201.20x = 426,388,969.68
  5. Step 5: Solve for x
    x = 426,388,969.68/32,201.20
  6. Step 6: Final answer
    x = 13,241.40

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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.