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Finding the Fourth Proportional to 49,084.65, 67,730.00 and 27,859.82

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Solution

The fourth proportional to 49,084.65, 67,730.00 and 27,859.82 is: 38,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,084.65 : 67,730.00 = 27,859.82 : x
  2. Step 2: Convert to fraction form
    49,084.65/67,730.00 = 27,859.82/x
  3. Step 3: Cross multiply
    49,084.65x = 67,730.00 × 27,859.82
  4. Step 4: Simplify right side
    49,084.65x = 1,886,945,130.65
  5. Step 5: Solve for x
    x = 1,886,945,130.65/49,084.65
  6. Step 6: Final answer
    x = 38,442.67

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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.