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Finding the Fourth Proportional to 33,082.50, 49,623.75 and 8,458.50

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Solution

The fourth proportional to 33,082.50, 49,623.75 and 8,458.50 is: 12,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.50 : 49,623.75 = 8,458.50 : x
  2. Step 2: Convert to fraction form
    33,082.50/49,623.75 = 8,458.50/x
  3. Step 3: Cross multiply
    33,082.50x = 49,623.75 × 8,458.50
  4. Step 4: Simplify right side
    33,082.50x = 419,742,489.38
  5. Step 5: Solve for x
    x = 419,742,489.38/33,082.50
  6. Step 6: Final answer
    x = 12,687.75

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1.5x scale

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.