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Finding the Fourth Proportional to 30,238.04, 41,713.98 and 26,039

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Solution

The fourth proportional to 30,238.04, 41,713.98 and 26,039 is: 35,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,238.04 : 41,713.98 = 26,039 : x
  2. Step 2: Convert to fraction form
    30,238.04/41,713.98 = 26,039/x
  3. Step 3: Cross multiply
    30,238.04x = 41,713.98 × 26,039
  4. Step 4: Simplify right side
    30,238.04x = 1,086,190,325.22
  5. Step 5: Solve for x
    x = 1,086,190,325.22/30,238.04
  6. Step 6: Final answer
    x = 35,921.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.