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Finding the Fourth Proportional to 30,256.38, 41,749.83 and 16,824.96

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Solution

The fourth proportional to 30,256.38, 41,749.83 and 16,824.96 is: 23,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.38 : 41,749.83 = 16,824.96 : x
  2. Step 2: Convert to fraction form
    30,256.38/41,749.83 = 16,824.96/x
  3. Step 3: Cross multiply
    30,256.38x = 41,749.83 × 16,824.96
  4. Step 4: Simplify right side
    30,256.38x = 702,439,219.76
  5. Step 5: Solve for x
    x = 702,439,219.76/30,256.38
  6. Step 6: Final answer
    x = 23,216.23

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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.