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Finding the Fourth Proportional to 43,446, 65,119.86 and 20,024.04

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Solution

The fourth proportional to 43,446, 65,119.86 and 20,024.04 is: 30,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,446 : 65,119.86 = 20,024.04 : x
  2. Step 2: Convert to fraction form
    43,446/65,119.86 = 20,024.04/x
  3. Step 3: Cross multiply
    43,446x = 65,119.86 × 20,024.04
  4. Step 4: Simplify right side
    43,446x = 1,303,962,681.43
  5. Step 5: Solve for x
    x = 1,303,962,681.43/43,446
  6. Step 6: Final answer
    x = 30,013.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.