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Finding the Fourth Proportional to 32,173.92, 48,266.94 and 12,189.40

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Solution

The fourth proportional to 32,173.92, 48,266.94 and 12,189.40 is: 18,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,173.92 : 48,266.94 = 12,189.40 : x
  2. Step 2: Convert to fraction form
    32,173.92/48,266.94 = 12,189.40/x
  3. Step 3: Cross multiply
    32,173.92x = 48,266.94 × 12,189.40
  4. Step 4: Simplify right side
    32,173.92x = 588,345,038.44
  5. Step 5: Solve for x
    x = 588,345,038.44/32,173.92
  6. Step 6: Final answer
    x = 18,286.40

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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.