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Finding the Fourth Proportional to 47,326.23, 65,310.03 and 27,184.41

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Solution

The fourth proportional to 47,326.23, 65,310.03 and 27,184.41 is: 37,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,326.23 : 65,310.03 = 27,184.41 : x
  2. Step 2: Convert to fraction form
    47,326.23/65,310.03 = 27,184.41/x
  3. Step 3: Cross multiply
    47,326.23x = 65,310.03 × 27,184.41
  4. Step 4: Simplify right side
    47,326.23x = 1,775,414,632.63
  5. Step 5: Solve for x
    x = 1,775,414,632.63/47,326.23
  6. Step 6: Final answer
    x = 37,514.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.