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Finding the Fourth Proportional to 55,059.44, 82,589.16 and 23,894

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Solution

The fourth proportional to 55,059.44, 82,589.16 and 23,894 is: 35,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,059.44 : 82,589.16 = 23,894 : x
  2. Step 2: Convert to fraction form
    55,059.44/82,589.16 = 23,894/x
  3. Step 3: Cross multiply
    55,059.44x = 82,589.16 × 23,894
  4. Step 4: Simplify right side
    55,059.44x = 1,973,385,389.04
  5. Step 5: Solve for x
    x = 1,973,385,389.04/55,059.44
  6. Step 6: Final answer
    x = 35,841

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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.