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Finding the Fourth Proportional to 74,033.52, 102,146.04 and 42,190.80

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Solution

The fourth proportional to 74,033.52, 102,146.04 and 42,190.80 is: 58,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,033.52 : 102,146.04 = 42,190.80 : x
  2. Step 2: Convert to fraction form
    74,033.52/102,146.04 = 42,190.80/x
  3. Step 3: Cross multiply
    74,033.52x = 102,146.04 × 42,190.80
  4. Step 4: Simplify right side
    74,033.52x = 4,309,623,144.43
  5. Step 5: Solve for x
    x = 4,309,623,144.43/74,033.52
  6. Step 6: Final answer
    x = 58,211.78

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