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Finding the Fourth Proportional to 120,538.60, 180,807.90 and 32,986.60

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Solution

The fourth proportional to 120,538.60, 180,807.90 and 32,986.60 is: 49,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,538.60 : 180,807.90 = 32,986.60 : x
  2. Step 2: Convert to fraction form
    120,538.60/180,807.90 = 32,986.60/x
  3. Step 3: Cross multiply
    120,538.60x = 180,807.90 × 32,986.60
  4. Step 4: Simplify right side
    120,538.60x = 5,964,237,874.14
  5. Step 5: Solve for x
    x = 5,964,237,874.14/120,538.60
  6. Step 6: Final answer
    x = 49,479.90

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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.