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Finding the Fourth Proportional to 74,050, 102,189 and 40,516

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Solution

The fourth proportional to 74,050, 102,189 and 40,516 is: 55,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,050 : 102,189 = 40,516 : x
  2. Step 2: Convert to fraction form
    74,050/102,189 = 40,516/x
  3. Step 3: Cross multiply
    74,050x = 102,189 × 40,516
  4. Step 4: Simplify right side
    74,050x = 4,140,289,524
  5. Step 5: Solve for x
    x = 4,140,289,524/74,050
  6. Step 6: Final answer
    x = 55,912.08

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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.