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Finding the Fourth Proportional to 27,052.26, 40,582.26 and 8,333.84

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Solution

The fourth proportional to 27,052.26, 40,582.26 and 8,333.84 is: 12,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052.26 : 40,582.26 = 8,333.84 : x
  2. Step 2: Convert to fraction form
    27,052.26/40,582.26 = 8,333.84/x
  3. Step 3: Cross multiply
    27,052.26x = 40,582.26 × 8,333.84
  4. Step 4: Simplify right side
    27,052.26x = 338,205,858.77
  5. Step 5: Solve for x
    x = 338,205,858.77/27,052.26
  6. Step 6: Final answer
    x = 12,501.94

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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.