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Finding the Fourth Proportional to 32,464.70, 48,697.05 and 12,743.90

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Solution

The fourth proportional to 32,464.70, 48,697.05 and 12,743.90 is: 19,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.70 : 48,697.05 = 12,743.90 : x
  2. Step 2: Convert to fraction form
    32,464.70/48,697.05 = 12,743.90/x
  3. Step 3: Cross multiply
    32,464.70x = 48,697.05 × 12,743.90
  4. Step 4: Simplify right side
    32,464.70x = 620,590,335.50
  5. Step 5: Solve for x
    x = 620,590,335.50/32,464.70
  6. Step 6: Final answer
    x = 19,115.85

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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.