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Finding the Fourth Proportional to 43,583, 65,384.22 and 15,881

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Solution

The fourth proportional to 43,583, 65,384.22 and 15,881 is: 23,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,583 : 65,384.22 = 15,881 : x
  2. Step 2: Convert to fraction form
    43,583/65,384.22 = 15,881/x
  3. Step 3: Cross multiply
    43,583x = 65,384.22 × 15,881
  4. Step 4: Simplify right side
    43,583x = 1,038,366,797.82
  5. Step 5: Solve for x
    x = 1,038,366,797.82/43,583
  6. Step 6: Final answer
    x = 23,825.04

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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.