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Finding the Fourth Proportional to 30,852, 46,340.10 and 18,396.36

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Solution

The fourth proportional to 30,852, 46,340.10 and 18,396.36 is: 27,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852 : 46,340.10 = 18,396.36 : x
  2. Step 2: Convert to fraction form
    30,852/46,340.10 = 18,396.36/x
  3. Step 3: Cross multiply
    30,852x = 46,340.10 × 18,396.36
  4. Step 4: Simplify right side
    30,852x = 852,489,162.04
  5. Step 5: Solve for x
    x = 852,489,162.04/30,852
  6. Step 6: Final answer
    x = 27,631.57

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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.