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Finding the Fourth Proportional to 32,543.41, 48,796.43 and 12,811.20

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Solution

The fourth proportional to 32,543.41, 48,796.43 and 12,811.20 is: 19,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,543.41 : 48,796.43 = 12,811.20 : x
  2. Step 2: Convert to fraction form
    32,543.41/48,796.43 = 12,811.20/x
  3. Step 3: Cross multiply
    32,543.41x = 48,796.43 × 12,811.20
  4. Step 4: Simplify right side
    32,543.41x = 625,140,791.99
  5. Step 5: Solve for x
    x = 625,140,791.99/32,543.41
  6. Step 6: Final answer
    x = 19,209.44

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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.