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Finding the Fourth Proportional to 73,943.37, 102,041.63 and 40,409.37

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Solution

The fourth proportional to 73,943.37, 102,041.63 and 40,409.37 is: 55,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,943.37 : 102,041.63 = 40,409.37 : x
  2. Step 2: Convert to fraction form
    73,943.37/102,041.63 = 40,409.37/x
  3. Step 3: Cross multiply
    73,943.37x = 102,041.63 × 40,409.37
  4. Step 4: Simplify right side
    73,943.37x = 4,123,437,780.03
  5. Step 5: Solve for x
    x = 4,123,437,780.03/73,943.37
  6. Step 6: Final answer
    x = 55,764.81

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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.