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Finding the Fourth Proportional to 27,744.48, 41,622.48 and 9,276

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Solution

The fourth proportional to 27,744.48, 41,622.48 and 9,276 is: 13,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.48 : 41,622.48 = 9,276 : x
  2. Step 2: Convert to fraction form
    27,744.48/41,622.48 = 9,276/x
  3. Step 3: Cross multiply
    27,744.48x = 41,622.48 × 9,276
  4. Step 4: Simplify right side
    27,744.48x = 386,090,124.48
  5. Step 5: Solve for x
    x = 386,090,124.48/27,744.48
  6. Step 6: Final answer
    x = 13,915.93

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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.