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Finding the Fourth Proportional to 30,797.45, 46,203.09 and 11,076

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Solution

The fourth proportional to 30,797.45, 46,203.09 and 11,076 is: 16,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.45 : 46,203.09 = 11,076 : x
  2. Step 2: Convert to fraction form
    30,797.45/46,203.09 = 11,076/x
  3. Step 3: Cross multiply
    30,797.45x = 46,203.09 × 11,076
  4. Step 4: Simplify right side
    30,797.45x = 511,745,424.84
  5. Step 5: Solve for x
    x = 511,745,424.84/30,797.45
  6. Step 6: Final answer
    x = 16,616.49

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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.