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Finding the Fourth Proportional to 30,776.56, 42,471.64 and 16,629.40

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Solution

The fourth proportional to 30,776.56, 42,471.64 and 16,629.40 is: 22,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.56 : 42,471.64 = 16,629.40 : x
  2. Step 2: Convert to fraction form
    30,776.56/42,471.64 = 16,629.40/x
  3. Step 3: Cross multiply
    30,776.56x = 42,471.64 × 16,629.40
  4. Step 4: Simplify right side
    30,776.56x = 706,277,890.22
  5. Step 5: Solve for x
    x = 706,277,890.22/30,776.56
  6. Step 6: Final answer
    x = 22,948.57

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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.