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Finding the Fourth Proportional to 74,432, 102,716.16 and 40,898.24

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Solution

The fourth proportional to 74,432, 102,716.16 and 40,898.24 is: 56,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,432 : 102,716.16 = 40,898.24 : x
  2. Step 2: Convert to fraction form
    74,432/102,716.16 = 40,898.24/x
  3. Step 3: Cross multiply
    74,432x = 102,716.16 × 40,898.24
  4. Step 4: Simplify right side
    74,432x = 4,200,910,163.56
  5. Step 5: Solve for x
    x = 4,200,910,163.56/74,432
  6. Step 6: Final answer
    x = 56,439.57

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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.