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Finding the Fourth Proportional to 27,028.94, 40,543.41 and 8,559.50

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Solution

The fourth proportional to 27,028.94, 40,543.41 and 8,559.50 is: 12,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,028.94 : 40,543.41 = 8,559.50 : x
  2. Step 2: Convert to fraction form
    27,028.94/40,543.41 = 8,559.50/x
  3. Step 3: Cross multiply
    27,028.94x = 40,543.41 × 8,559.50
  4. Step 4: Simplify right side
    27,028.94x = 347,031,317.90
  5. Step 5: Solve for x
    x = 347,031,317.90/27,028.94
  6. Step 6: Final answer
    x = 12,839.25

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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.