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Finding the Fourth Proportional to 30,776.44, 42,471.46 and 16,629.28

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Solution

The fourth proportional to 30,776.44, 42,471.46 and 16,629.28 is: 22,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.44 : 42,471.46 = 16,629.28 : x
  2. Step 2: Convert to fraction form
    30,776.44/42,471.46 = 16,629.28/x
  3. Step 3: Cross multiply
    30,776.44x = 42,471.46 × 16,629.28
  4. Step 4: Simplify right side
    30,776.44x = 706,269,800.35
  5. Step 5: Solve for x
    x = 706,269,800.35/30,776.44
  6. Step 6: Final answer
    x = 22,948.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.