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Finding the Fourth Proportional to 30,259.38, 41,761.80 and 18,323.22

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Solution

The fourth proportional to 30,259.38, 41,761.80 and 18,323.22 is: 25,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.38 : 41,761.80 = 18,323.22 : x
  2. Step 2: Convert to fraction form
    30,259.38/41,761.80 = 18,323.22/x
  3. Step 3: Cross multiply
    30,259.38x = 41,761.80 × 18,323.22
  4. Step 4: Simplify right side
    30,259.38x = 765,210,649.00
  5. Step 5: Solve for x
    x = 765,210,649.00/30,259.38
  6. Step 6: Final answer
    x = 25,288.38

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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.