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Finding the Fourth Proportional to 27,071.70, 40,612.16 and 8,351.39

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Solution

The fourth proportional to 27,071.70, 40,612.16 and 8,351.39 is: 12,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,071.70 : 40,612.16 = 8,351.39 : x
  2. Step 2: Convert to fraction form
    27,071.70/40,612.16 = 8,351.39/x
  3. Step 3: Cross multiply
    27,071.70x = 40,612.16 × 8,351.39
  4. Step 4: Simplify right side
    27,071.70x = 339,167,804.72
  5. Step 5: Solve for x
    x = 339,167,804.72/27,071.70
  6. Step 6: Final answer
    x = 12,528.50

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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.