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Finding the Fourth Proportional to 43,466.47, 65,192.00 and 19,768.47

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Solution

The fourth proportional to 43,466.47, 65,192.00 and 19,768.47 is: 29,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,466.47 : 65,192.00 = 19,768.47 : x
  2. Step 2: Convert to fraction form
    43,466.47/65,192.00 = 19,768.47/x
  3. Step 3: Cross multiply
    43,466.47x = 65,192.00 × 19,768.47
  4. Step 4: Simplify right side
    43,466.47x = 1,288,745,983.60
  5. Step 5: Solve for x
    x = 1,288,745,983.60/43,466.47
  6. Step 6: Final answer
    x = 29,649.20

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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.