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Finding the Fourth Proportional to 30,178.89, 41,646.09 and 16,749.75

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Solution

The fourth proportional to 30,178.89, 41,646.09 and 16,749.75 is: 23,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.89 : 41,646.09 = 16,749.75 : x
  2. Step 2: Convert to fraction form
    30,178.89/41,646.09 = 16,749.75/x
  3. Step 3: Cross multiply
    30,178.89x = 41,646.09 × 16,749.75
  4. Step 4: Simplify right side
    30,178.89x = 697,561,595.98
  5. Step 5: Solve for x
    x = 697,561,595.98/30,178.89
  6. Step 6: Final answer
    x = 23,114.22

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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.