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Finding the Fourth Proportional to 114,674.46, 171,836.28 and 48,078.24

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Solution

The fourth proportional to 114,674.46, 171,836.28 and 48,078.24 is: 72,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,674.46 : 171,836.28 = 48,078.24 : x
  2. Step 2: Convert to fraction form
    114,674.46/171,836.28 = 48,078.24/x
  3. Step 3: Cross multiply
    114,674.46x = 171,836.28 × 48,078.24
  4. Step 4: Simplify right side
    114,674.46x = 8,261,585,910.55
  5. Step 5: Solve for x
    x = 8,261,585,910.55/114,674.46
  6. Step 6: Final answer
    x = 72,043.82

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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.