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Finding the Fourth Proportional to 27,583.84, 41,375.84 and 10,053.64

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Solution

The fourth proportional to 27,583.84, 41,375.84 and 10,053.64 is: 15,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583.84 : 41,375.84 = 10,053.64 : x
  2. Step 2: Convert to fraction form
    27,583.84/41,375.84 = 10,053.64/x
  3. Step 3: Cross multiply
    27,583.84x = 41,375.84 × 10,053.64
  4. Step 4: Simplify right side
    27,583.84x = 415,977,800.06
  5. Step 5: Solve for x
    x = 415,977,800.06/27,583.84
  6. Step 6: Final answer
    x = 15,080.49

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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.