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Finding the Fourth Proportional to 30,297, 41,809.86 and 17,049

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Solution

The fourth proportional to 30,297, 41,809.86 and 17,049 is: 23,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297 : 41,809.86 = 17,049 : x
  2. Step 2: Convert to fraction form
    30,297/41,809.86 = 17,049/x
  3. Step 3: Cross multiply
    30,297x = 41,809.86 × 17,049
  4. Step 4: Simplify right side
    30,297x = 712,816,303.14
  5. Step 5: Solve for x
    x = 712,816,303.14/30,297
  6. Step 6: Final answer
    x = 23,527.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.