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Finding the Fourth Proportional to 27,878.55, 41,826.03 and 11,230.02

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Solution

The fourth proportional to 27,878.55, 41,826.03 and 11,230.02 is: 16,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.55 : 41,826.03 = 11,230.02 : x
  2. Step 2: Convert to fraction form
    27,878.55/41,826.03 = 11,230.02/x
  3. Step 3: Cross multiply
    27,878.55x = 41,826.03 × 11,230.02
  4. Step 4: Simplify right side
    27,878.55x = 469,707,153.42
  5. Step 5: Solve for x
    x = 469,707,153.42/27,878.55
  6. Step 6: Final answer
    x = 16,848.34

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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.