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Finding the Fourth Proportional to 30,076.34, 41,504.68 and 16,646.78

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Solution

The fourth proportional to 30,076.34, 41,504.68 and 16,646.78 is: 22,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.34 : 41,504.68 = 16,646.78 : x
  2. Step 2: Convert to fraction form
    30,076.34/41,504.68 = 16,646.78/x
  3. Step 3: Cross multiply
    30,076.34x = 41,504.68 × 16,646.78
  4. Step 4: Simplify right side
    30,076.34x = 690,919,276.93
  5. Step 5: Solve for x
    x = 690,919,276.93/30,076.34
  6. Step 6: Final answer
    x = 22,972.19

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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.