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Finding the Fourth Proportional to 27,955.46, 41,937.33 and 9,237.48

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Solution

The fourth proportional to 27,955.46, 41,937.33 and 9,237.48 is: 13,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,955.46 : 41,937.33 = 9,237.48 : x
  2. Step 2: Convert to fraction form
    27,955.46/41,937.33 = 9,237.48/x
  3. Step 3: Cross multiply
    27,955.46x = 41,937.33 × 9,237.48
  4. Step 4: Simplify right side
    27,955.46x = 387,395,124.50
  5. Step 5: Solve for x
    x = 387,395,124.50/27,955.46
  6. Step 6: Final answer
    x = 13,857.58

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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.