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Finding the Fourth Proportional to 27,897.50, 41,846.47 and 10,367.31

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Solution

The fourth proportional to 27,897.50, 41,846.47 and 10,367.31 is: 15,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.50 : 41,846.47 = 10,367.31 : x
  2. Step 2: Convert to fraction form
    27,897.50/41,846.47 = 10,367.31/x
  3. Step 3: Cross multiply
    27,897.50x = 41,846.47 × 10,367.31
  4. Step 4: Simplify right side
    27,897.50x = 433,835,326.90
  5. Step 5: Solve for x
    x = 433,835,326.90/27,897.50
  6. Step 6: Final answer
    x = 15,551.05

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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.