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Finding the Fourth Proportional to 32,314.68, 48,452.58 and 12,325.50

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Solution

The fourth proportional to 32,314.68, 48,452.58 and 12,325.50 is: 18,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.68 : 48,452.58 = 12,325.50 : x
  2. Step 2: Convert to fraction form
    32,314.68/48,452.58 = 12,325.50/x
  3. Step 3: Cross multiply
    32,314.68x = 48,452.58 × 12,325.50
  4. Step 4: Simplify right side
    32,314.68x = 597,202,274.79
  5. Step 5: Solve for x
    x = 597,202,274.79/32,314.68
  6. Step 6: Final answer
    x = 18,480.84

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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.