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Finding the Fourth Proportional to 72,947.94, 100,667.96 and 40,682.60

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Solution

The fourth proportional to 72,947.94, 100,667.96 and 40,682.60 is: 56,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,947.94 : 100,667.96 = 40,682.60 : x
  2. Step 2: Convert to fraction form
    72,947.94/100,667.96 = 40,682.60/x
  3. Step 3: Cross multiply
    72,947.94x = 100,667.96 × 40,682.60
  4. Step 4: Simplify right side
    72,947.94x = 4,095,433,775.26
  5. Step 5: Solve for x
    x = 4,095,433,775.26/72,947.94
  6. Step 6: Final answer
    x = 56,141.87

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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.