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Finding the Fourth Proportional to 82,107.60, 123,193.80 and 32,179.20

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Solution

The fourth proportional to 82,107.60, 123,193.80 and 32,179.20 is: 48,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.60 : 123,193.80 = 32,179.20 : x
  2. Step 2: Convert to fraction form
    82,107.60/123,193.80 = 32,179.20/x
  3. Step 3: Cross multiply
    82,107.60x = 123,193.80 × 32,179.20
  4. Step 4: Simplify right side
    82,107.60x = 3,964,277,928.96
  5. Step 5: Solve for x
    x = 3,964,277,928.96/82,107.60
  6. Step 6: Final answer
    x = 48,281.50

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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.