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Finding the Fourth Proportional to 72,805.56, 100,471.46 and 40,974.50

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Solution

The fourth proportional to 72,805.56, 100,471.46 and 40,974.50 is: 56,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.56 : 100,471.46 = 40,974.50 : x
  2. Step 2: Convert to fraction form
    72,805.56/100,471.46 = 40,974.50/x
  3. Step 3: Cross multiply
    72,805.56x = 100,471.46 × 40,974.50
  4. Step 4: Simplify right side
    72,805.56x = 4,116,767,130.54
  5. Step 5: Solve for x
    x = 4,116,767,130.54/72,805.56
  6. Step 6: Final answer
    x = 56,544.68

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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.