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Finding the Fourth Proportional to 27,771.48, 41,662.98 and 9,303

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Solution

The fourth proportional to 27,771.48, 41,662.98 and 9,303 is: 13,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.48 : 41,662.98 = 9,303 : x
  2. Step 2: Convert to fraction form
    27,771.48/41,662.98 = 9,303/x
  3. Step 3: Cross multiply
    27,771.48x = 41,662.98 × 9,303
  4. Step 4: Simplify right side
    27,771.48x = 387,590,702.94
  5. Step 5: Solve for x
    x = 387,590,702.94/27,771.48
  6. Step 6: Final answer
    x = 13,956.43

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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.