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Finding the Fourth Proportional to 49,012.04, 67,632.72 and 27,794.72

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Solution

The fourth proportional to 49,012.04, 67,632.72 and 27,794.72 is: 38,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,012.04 : 67,632.72 = 27,794.72 : x
  2. Step 2: Convert to fraction form
    49,012.04/67,632.72 = 27,794.72/x
  3. Step 3: Cross multiply
    49,012.04x = 67,632.72 × 27,794.72
  4. Step 4: Simplify right side
    49,012.04x = 1,879,832,515.24
  5. Step 5: Solve for x
    x = 1,879,832,515.24/49,012.04
  6. Step 6: Final answer
    x = 38,354.50

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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.