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Finding the Fourth Proportional to 48,993.84, 67,609.58 and 27,772.65

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Solution

The fourth proportional to 48,993.84, 67,609.58 and 27,772.65 is: 38,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,993.84 : 67,609.58 = 27,772.65 : x
  2. Step 2: Convert to fraction form
    48,993.84/67,609.58 = 27,772.65/x
  3. Step 3: Cross multiply
    48,993.84x = 67,609.58 × 27,772.65
  4. Step 4: Simplify right side
    48,993.84x = 1,877,697,063.12
  5. Step 5: Solve for x
    x = 1,877,697,063.12/48,993.84
  6. Step 6: Final answer
    x = 38,325.17

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Why These Related Problems?

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