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Finding the Fourth Proportional to 30,776.40, 42,471.48 and 16,629.27

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Solution

The fourth proportional to 30,776.40, 42,471.48 and 16,629.27 is: 22,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.40 : 42,471.48 = 16,629.27 : x
  2. Step 2: Convert to fraction form
    30,776.40/42,471.48 = 16,629.27/x
  3. Step 3: Cross multiply
    30,776.40x = 42,471.48 × 16,629.27
  4. Step 4: Simplify right side
    30,776.40x = 706,269,708.22
  5. Step 5: Solve for x
    x = 706,269,708.22/30,776.40
  6. Step 6: Final answer
    x = 22,948.42

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