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Finding the Fourth Proportional to 49,208.50, 67,907.36 and 27,987.74

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Solution

The fourth proportional to 49,208.50, 67,907.36 and 27,987.74 is: 38,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,208.50 : 67,907.36 = 27,987.74 : x
  2. Step 2: Convert to fraction form
    49,208.50/67,907.36 = 27,987.74/x
  3. Step 3: Cross multiply
    49,208.50x = 67,907.36 × 27,987.74
  4. Step 4: Simplify right side
    49,208.50x = 1,900,573,535.77
  5. Step 5: Solve for x
    x = 1,900,573,535.77/49,208.50
  6. Step 6: Final answer
    x = 38,622.87

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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.