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Finding the Fourth Proportional to 29,259.42, 40,361.67 and 19,189.50

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Solution

The fourth proportional to 29,259.42, 40,361.67 and 19,189.50 is: 26,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,259.42 : 40,361.67 = 19,189.50 : x
  2. Step 2: Convert to fraction form
    29,259.42/40,361.67 = 19,189.50/x
  3. Step 3: Cross multiply
    29,259.42x = 40,361.67 × 19,189.50
  4. Step 4: Simplify right side
    29,259.42x = 774,520,266.47
  5. Step 5: Solve for x
    x = 774,520,266.47/29,259.42
  6. Step 6: Final answer
    x = 26,470.80

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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.