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Finding the Fourth Proportional to 27,185.85, 40,774.41 and 7,459.80

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Solution

The fourth proportional to 27,185.85, 40,774.41 and 7,459.80 is: 11,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185.85 : 40,774.41 = 7,459.80 : x
  2. Step 2: Convert to fraction form
    27,185.85/40,774.41 = 7,459.80/x
  3. Step 3: Cross multiply
    27,185.85x = 40,774.41 × 7,459.80
  4. Step 4: Simplify right side
    27,185.85x = 304,168,943.72
  5. Step 5: Solve for x
    x = 304,168,943.72/27,185.85
  6. Step 6: Final answer
    x = 11,188.50

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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.