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Finding the Fourth Proportional to 30,771.23, 46,156.84 and 7,397.67

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Solution

The fourth proportional to 30,771.23, 46,156.84 and 7,397.67 is: 11,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.23 : 46,156.84 = 7,397.67 : x
  2. Step 2: Convert to fraction form
    30,771.23/46,156.84 = 7,397.67/x
  3. Step 3: Cross multiply
    30,771.23x = 46,156.84 × 7,397.67
  4. Step 4: Simplify right side
    30,771.23x = 341,453,070.56
  5. Step 5: Solve for x
    x = 341,453,070.56/30,771.23
  6. Step 6: Final answer
    x = 11,096.50

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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.