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Finding the Fourth Proportional to 27,272.94, 40,907.97 and 8,803.50

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Solution

The fourth proportional to 27,272.94, 40,907.97 and 8,803.50 is: 13,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,272.94 : 40,907.97 = 8,803.50 : x
  2. Step 2: Convert to fraction form
    27,272.94/40,907.97 = 8,803.50/x
  3. Step 3: Cross multiply
    27,272.94x = 40,907.97 × 8,803.50
  4. Step 4: Simplify right side
    27,272.94x = 360,133,313.90
  5. Step 5: Solve for x
    x = 360,133,313.90/27,272.94
  6. Step 6: Final answer
    x = 13,204.79

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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.