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Finding the Fourth Proportional to 30,200.49, 41,676.44 and 16,588.76

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Solution

The fourth proportional to 30,200.49, 41,676.44 and 16,588.76 is: 22,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.49 : 41,676.44 = 16,588.76 : x
  2. Step 2: Convert to fraction form
    30,200.49/41,676.44 = 16,588.76/x
  3. Step 3: Cross multiply
    30,200.49x = 41,676.44 × 16,588.76
  4. Step 4: Simplify right side
    30,200.49x = 691,360,169.49
  5. Step 5: Solve for x
    x = 691,360,169.49/30,200.49
  6. Step 6: Final answer
    x = 22,892.35

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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.