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Finding the Fourth Proportional to 30,176.32, 45,198.96 and 18,454

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Solution

The fourth proportional to 30,176.32, 45,198.96 and 18,454 is: 27,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.32 : 45,198.96 = 18,454 : x
  2. Step 2: Convert to fraction form
    30,176.32/45,198.96 = 18,454/x
  3. Step 3: Cross multiply
    30,176.32x = 45,198.96 × 18,454
  4. Step 4: Simplify right side
    30,176.32x = 834,101,607.84
  5. Step 5: Solve for x
    x = 834,101,607.84/30,176.32
  6. Step 6: Final answer
    x = 27,640.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.