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Finding the Fourth Proportional to 23,129.49, 34,687.94 and 6,488.49

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Solution

The fourth proportional to 23,129.49, 34,687.94 and 6,488.49 is: 9,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.49 : 34,687.94 = 6,488.49 : x
  2. Step 2: Convert to fraction form
    23,129.49/34,687.94 = 6,488.49/x
  3. Step 3: Cross multiply
    23,129.49x = 34,687.94 × 6,488.49
  4. Step 4: Simplify right side
    23,129.49x = 225,072,319.37
  5. Step 5: Solve for x
    x = 225,072,319.37/23,129.49
  6. Step 6: Final answer
    x = 9,730.97

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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.