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Finding the Fourth Proportional to 30,882, 42,617.16 and 16,734.85

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Solution

The fourth proportional to 30,882, 42,617.16 and 16,734.85 is: 23,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882 : 42,617.16 = 16,734.85 : x
  2. Step 2: Convert to fraction form
    30,882/42,617.16 = 16,734.85/x
  3. Step 3: Cross multiply
    30,882x = 42,617.16 × 16,734.85
  4. Step 4: Simplify right side
    30,882x = 713,191,673.48
  5. Step 5: Solve for x
    x = 713,191,673.48/30,882
  6. Step 6: Final answer
    x = 23,094.09

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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.