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Finding the Fourth Proportional to 144,576.84, 216,811.32 and 49,780.24

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Solution

The fourth proportional to 144,576.84, 216,811.32 and 49,780.24 is: 74,651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,576.84 : 216,811.32 = 49,780.24 : x
  2. Step 2: Convert to fraction form
    144,576.84/216,811.32 = 49,780.24/x
  3. Step 3: Cross multiply
    144,576.84x = 216,811.32 × 49,780.24
  4. Step 4: Simplify right side
    144,576.84x = 10,792,919,544.32
  5. Step 5: Solve for x
    x = 10,792,919,544.32/144,576.84
  6. Step 6: Final answer
    x = 74,651.79

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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.