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Finding the Fourth Proportional to 74,342.30, 102,592.42 and 40,350.78

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Solution

The fourth proportional to 74,342.30, 102,592.42 and 40,350.78 is: 55,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,342.30 : 102,592.42 = 40,350.78 : x
  2. Step 2: Convert to fraction form
    74,342.30/102,592.42 = 40,350.78/x
  3. Step 3: Cross multiply
    74,342.30x = 102,592.42 × 40,350.78
  4. Step 4: Simplify right side
    74,342.30x = 4,139,684,169.09
  5. Step 5: Solve for x
    x = 4,139,684,169.09/74,342.30
  6. Step 6: Final answer
    x = 55,684.10

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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.