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Finding the Fourth Proportional to 30,591.34, 42,229 and 18,658.96

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Solution

The fourth proportional to 30,591.34, 42,229 and 18,658.96 is: 25,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.34 : 42,229 = 18,658.96 : x
  2. Step 2: Convert to fraction form
    30,591.34/42,229 = 18,658.96/x
  3. Step 3: Cross multiply
    30,591.34x = 42,229 × 18,658.96
  4. Step 4: Simplify right side
    30,591.34x = 787,949,221.84
  5. Step 5: Solve for x
    x = 787,949,221.84/30,591.34
  6. Step 6: Final answer
    x = 25,757.26

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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.