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Finding the Fourth Proportional to 32,194.56, 48,265.84 and 12,463.04

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Solution

The fourth proportional to 32,194.56, 48,265.84 and 12,463.04 is: 18,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.56 : 48,265.84 = 12,463.04 : x
  2. Step 2: Convert to fraction form
    32,194.56/48,265.84 = 12,463.04/x
  3. Step 3: Cross multiply
    32,194.56x = 48,265.84 × 12,463.04
  4. Step 4: Simplify right side
    32,194.56x = 601,539,094.55
  5. Step 5: Solve for x
    x = 601,539,094.55/32,194.56
  6. Step 6: Final answer
    x = 18,684.49

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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.