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Finding the Fourth Proportional to 32,115.40, 48,205.74 and 23,367.40

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Solution

The fourth proportional to 32,115.40, 48,205.74 and 23,367.40 is: 35,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.40 : 48,205.74 = 23,367.40 : x
  2. Step 2: Convert to fraction form
    32,115.40/48,205.74 = 23,367.40/x
  3. Step 3: Cross multiply
    32,115.40x = 48,205.74 × 23,367.40
  4. Step 4: Simplify right side
    32,115.40x = 1,126,442,808.88
  5. Step 5: Solve for x
    x = 1,126,442,808.88/32,115.40
  6. Step 6: Final answer
    x = 35,074.85

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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.