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Finding the Fourth Proportional to 30,034.36, 41,449 and 17,289.48

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Solution

The fourth proportional to 30,034.36, 41,449 and 17,289.48 is: 23,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.36 : 41,449 = 17,289.48 : x
  2. Step 2: Convert to fraction form
    30,034.36/41,449 = 17,289.48/x
  3. Step 3: Cross multiply
    30,034.36x = 41,449 × 17,289.48
  4. Step 4: Simplify right side
    30,034.36x = 716,631,656.52
  5. Step 5: Solve for x
    x = 716,631,656.52/30,034.36
  6. Step 6: Final answer
    x = 23,860.39

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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.