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Finding the Fourth Proportional to 94,409.46, 141,580.46 and 31,217.92

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Solution

The fourth proportional to 94,409.46, 141,580.46 and 31,217.92 is: 46,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,409.46 : 141,580.46 = 31,217.92 : x
  2. Step 2: Convert to fraction form
    94,409.46/141,580.46 = 31,217.92/x
  3. Step 3: Cross multiply
    94,409.46x = 141,580.46 × 31,217.92
  4. Step 4: Simplify right side
    94,409.46x = 4,419,847,473.84
  5. Step 5: Solve for x
    x = 4,419,847,473.84/94,409.46
  6. Step 6: Final answer
    x = 46,815.73

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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.