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Finding the Fourth Proportional to 30,769.23, 46,153.84 and 7,395.67

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Solution

The fourth proportional to 30,769.23, 46,153.84 and 7,395.67 is: 11,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.23 : 46,153.84 = 7,395.67 : x
  2. Step 2: Convert to fraction form
    30,769.23/46,153.84 = 7,395.67/x
  3. Step 3: Cross multiply
    30,769.23x = 46,153.84 × 7,395.67
  4. Step 4: Simplify right side
    30,769.23x = 341,338,569.87
  5. Step 5: Solve for x
    x = 341,338,569.87/30,769.23
  6. Step 6: Final answer
    x = 11,093.50

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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.