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Finding the Fourth Proportional to 27,968.50, 41,958.51 and 11,552.50

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Solution

The fourth proportional to 27,968.50, 41,958.51 and 11,552.50 is: 17,331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968.50 : 41,958.51 = 11,552.50 : x
  2. Step 2: Convert to fraction form
    27,968.50/41,958.51 = 11,552.50/x
  3. Step 3: Cross multiply
    27,968.50x = 41,958.51 × 11,552.50
  4. Step 4: Simplify right side
    27,968.50x = 484,725,686.78
  5. Step 5: Solve for x
    x = 484,725,686.78/27,968.50
  6. Step 6: Final answer
    x = 17,331.13

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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.