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Finding the Fourth Proportional to 43,596, 65,403.72 and 15,894

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Solution

The fourth proportional to 43,596, 65,403.72 and 15,894 is: 23,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,596 : 65,403.72 = 15,894 : x
  2. Step 2: Convert to fraction form
    43,596/65,403.72 = 15,894/x
  3. Step 3: Cross multiply
    43,596x = 65,403.72 × 15,894
  4. Step 4: Simplify right side
    43,596x = 1,039,526,725.68
  5. Step 5: Solve for x
    x = 1,039,526,725.68/43,596
  6. Step 6: Final answer
    x = 23,844.54

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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.