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Finding the Fourth Proportional to 27,937.84, 41,889.24 and 10,393.24

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Solution

The fourth proportional to 27,937.84, 41,889.24 and 10,393.24 is: 15,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.84 : 41,889.24 = 10,393.24 : x
  2. Step 2: Convert to fraction form
    27,937.84/41,889.24 = 10,393.24/x
  3. Step 3: Cross multiply
    27,937.84x = 41,889.24 × 10,393.24
  4. Step 4: Simplify right side
    27,937.84x = 435,364,924.74
  5. Step 5: Solve for x
    x = 435,364,924.74/27,937.84
  6. Step 6: Final answer
    x = 15,583.34

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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.