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Finding the Fourth Proportional to 72,760.45, 100,406.47 and 40,494.16

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Solution

The fourth proportional to 72,760.45, 100,406.47 and 40,494.16 is: 55,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,760.45 : 100,406.47 = 40,494.16 : x
  2. Step 2: Convert to fraction form
    72,760.45/100,406.47 = 40,494.16/x
  3. Step 3: Cross multiply
    72,760.45x = 100,406.47 × 40,494.16
  4. Step 4: Simplify right side
    72,760.45x = 4,065,875,469.46
  5. Step 5: Solve for x
    x = 4,065,875,469.46/72,760.45
  6. Step 6: Final answer
    x = 55,880.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.