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Finding the Fourth Proportional to 27,051.69, 40,582.16 and 8,331.31

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Solution

The fourth proportional to 27,051.69, 40,582.16 and 8,331.31 is: 12,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051.69 : 40,582.16 = 8,331.31 : x
  2. Step 2: Convert to fraction form
    27,051.69/40,582.16 = 8,331.31/x
  3. Step 3: Cross multiply
    27,051.69x = 40,582.16 × 8,331.31
  4. Step 4: Simplify right side
    27,051.69x = 338,102,555.43
  5. Step 5: Solve for x
    x = 338,102,555.43/27,051.69
  6. Step 6: Final answer
    x = 12,498.39

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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.