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Finding the Fourth Proportional to 27,051.12, 40,578.12 and 8,344.02

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Solution

The fourth proportional to 27,051.12, 40,578.12 and 8,344.02 is: 12,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051.12 : 40,578.12 = 8,344.02 : x
  2. Step 2: Convert to fraction form
    27,051.12/40,578.12 = 8,344.02/x
  3. Step 3: Cross multiply
    27,051.12x = 40,578.12 × 8,344.02
  4. Step 4: Simplify right side
    27,051.12x = 338,584,644.84
  5. Step 5: Solve for x
    x = 338,584,644.84/27,051.12
  6. Step 6: Final answer
    x = 12,516.47

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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.