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Finding the Fourth Proportional to 30,244.02, 41,733.60 and 16,813.14

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Solution

The fourth proportional to 30,244.02, 41,733.60 and 16,813.14 is: 23,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,244.02 : 41,733.60 = 16,813.14 : x
  2. Step 2: Convert to fraction form
    30,244.02/41,733.60 = 16,813.14/x
  3. Step 3: Cross multiply
    30,244.02x = 41,733.60 × 16,813.14
  4. Step 4: Simplify right side
    30,244.02x = 701,672,859.50
  5. Step 5: Solve for x
    x = 701,672,859.50/30,244.02
  6. Step 6: Final answer
    x = 23,200.38

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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.