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Finding the Fourth Proportional to 26,159, 39,238.50 and 6,703

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Solution

The fourth proportional to 26,159, 39,238.50 and 6,703 is: 10,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,159 : 39,238.50 = 6,703 : x
  2. Step 2: Convert to fraction form
    26,159/39,238.50 = 6,703/x
  3. Step 3: Cross multiply
    26,159x = 39,238.50 × 6,703
  4. Step 4: Simplify right side
    26,159x = 263,015,665.50
  5. Step 5: Solve for x
    x = 263,015,665.50/26,159
  6. Step 6: Final answer
    x = 10,054.50

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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.