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Finding the Fourth Proportional to 74,174.44, 102,361.44 and 42,343.24

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Solution

The fourth proportional to 74,174.44, 102,361.44 and 42,343.24 is: 58,434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,174.44 : 102,361.44 = 42,343.24 : x
  2. Step 2: Convert to fraction form
    74,174.44/102,361.44 = 42,343.24/x
  3. Step 3: Cross multiply
    74,174.44x = 102,361.44 × 42,343.24
  4. Step 4: Simplify right side
    74,174.44x = 4,334,315,020.67
  5. Step 5: Solve for x
    x = 4,334,315,020.67/74,174.44
  6. Step 6: Final answer
    x = 58,434.08

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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.