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Finding the Fourth Proportional to 91,343.92, 137,015.28 and 46,983.04

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Solution

The fourth proportional to 91,343.92, 137,015.28 and 46,983.04 is: 70,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,343.92 : 137,015.28 = 46,983.04 : x
  2. Step 2: Convert to fraction form
    91,343.92/137,015.28 = 46,983.04/x
  3. Step 3: Cross multiply
    91,343.92x = 137,015.28 × 46,983.04
  4. Step 4: Simplify right side
    91,343.92x = 6,437,394,380.85
  5. Step 5: Solve for x
    x = 6,437,394,380.85/91,343.92
  6. Step 6: Final answer
    x = 70,474.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.