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Finding the Fourth Proportional to 34,878.68, 52,318.24 and 11,189.82

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Solution

The fourth proportional to 34,878.68, 52,318.24 and 11,189.82 is: 16,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878.68 : 52,318.24 = 11,189.82 : x
  2. Step 2: Convert to fraction form
    34,878.68/52,318.24 = 11,189.82/x
  3. Step 3: Cross multiply
    34,878.68x = 52,318.24 × 11,189.82
  4. Step 4: Simplify right side
    34,878.68x = 585,431,660.34
  5. Step 5: Solve for x
    x = 585,431,660.34/34,878.68
  6. Step 6: Final answer
    x = 16,784.80

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Why These Related Problems?

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