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Finding the Fourth Proportional to 74,382.88, 102,650.16 and 40,849.60

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Solution

The fourth proportional to 74,382.88, 102,650.16 and 40,849.60 is: 56,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,382.88 : 102,650.16 = 40,849.60 : x
  2. Step 2: Convert to fraction form
    74,382.88/102,650.16 = 40,849.60/x
  3. Step 3: Cross multiply
    74,382.88x = 102,650.16 × 40,849.60
  4. Step 4: Simplify right side
    74,382.88x = 4,193,217,975.94
  5. Step 5: Solve for x
    x = 4,193,217,975.94/74,382.88
  6. Step 6: Final answer
    x = 56,373.43

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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.