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Finding the Fourth Proportional to 65,947.94, 91,009.85 and 40,468.38

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Solution

The fourth proportional to 65,947.94, 91,009.85 and 40,468.38 is: 55,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,947.94 : 91,009.85 = 40,468.38 : x
  2. Step 2: Convert to fraction form
    65,947.94/91,009.85 = 40,468.38/x
  3. Step 3: Cross multiply
    65,947.94x = 91,009.85 × 40,468.38
  4. Step 4: Simplify right side
    65,947.94x = 3,683,021,759.26
  5. Step 5: Solve for x
    x = 3,683,021,759.26/65,947.94
  6. Step 6: Final answer
    x = 55,847.41

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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.