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Finding the Fourth Proportional to 30,046.14, 41,461.29 and 16,617.42

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Solution

The fourth proportional to 30,046.14, 41,461.29 and 16,617.42 is: 22,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046.14 : 41,461.29 = 16,617.42 : x
  2. Step 2: Convert to fraction form
    30,046.14/41,461.29 = 16,617.42/x
  3. Step 3: Cross multiply
    30,046.14x = 41,461.29 × 16,617.42
  4. Step 4: Simplify right side
    30,046.14x = 688,979,669.67
  5. Step 5: Solve for x
    x = 688,979,669.67/30,046.14
  6. Step 6: Final answer
    x = 22,930.72

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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.