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Finding the Fourth Proportional to 33,830.65, 50,750.68 and 14,104.67

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Solution

The fourth proportional to 33,830.65, 50,750.68 and 14,104.67 is: 21,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.65 : 50,750.68 = 14,104.67 : x
  2. Step 2: Convert to fraction form
    33,830.65/50,750.68 = 14,104.67/x
  3. Step 3: Cross multiply
    33,830.65x = 50,750.68 × 14,104.67
  4. Step 4: Simplify right side
    33,830.65x = 715,821,426.26
  5. Step 5: Solve for x
    x = 715,821,426.26/33,830.65
  6. Step 6: Final answer
    x = 21,158.96

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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.