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Finding the Fourth Proportional to 33,271.80, 49,907.70 and 9,895.20

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Solution

The fourth proportional to 33,271.80, 49,907.70 and 9,895.20 is: 14,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,271.80 : 49,907.70 = 9,895.20 : x
  2. Step 2: Convert to fraction form
    33,271.80/49,907.70 = 9,895.20/x
  3. Step 3: Cross multiply
    33,271.80x = 49,907.70 × 9,895.20
  4. Step 4: Simplify right side
    33,271.80x = 493,846,673.04
  5. Step 5: Solve for x
    x = 493,846,673.04/33,271.80
  6. Step 6: Final answer
    x = 14,842.80

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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.