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Finding the Fourth Proportional to 30,962, 46,467.60 and 11,246.24

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Solution

The fourth proportional to 30,962, 46,467.60 and 11,246.24 is: 16,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962 : 46,467.60 = 11,246.24 : x
  2. Step 2: Convert to fraction form
    30,962/46,467.60 = 11,246.24/x
  3. Step 3: Cross multiply
    30,962x = 46,467.60 × 11,246.24
  4. Step 4: Simplify right side
    30,962x = 522,585,781.82
  5. Step 5: Solve for x
    x = 522,585,781.82/30,962
  6. Step 6: Final answer
    x = 16,878.30

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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.