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Finding the Fourth Proportional to 27,181.86, 40,768.40 and 7,455.80

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Solution

The fourth proportional to 27,181.86, 40,768.40 and 7,455.80 is: 11,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.86 : 40,768.40 = 7,455.80 : x
  2. Step 2: Convert to fraction form
    27,181.86/40,768.40 = 7,455.80/x
  3. Step 3: Cross multiply
    27,181.86x = 40,768.40 × 7,455.80
  4. Step 4: Simplify right side
    27,181.86x = 303,961,036.72
  5. Step 5: Solve for x
    x = 303,961,036.72/27,181.86
  6. Step 6: Final answer
    x = 11,182.50

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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.