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Finding the Fourth Proportional to 49,207.93, 67,907.22 and 27,698.10

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Solution

The fourth proportional to 49,207.93, 67,907.22 and 27,698.10 is: 38,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207.93 : 67,907.22 = 27,698.10 : x
  2. Step 2: Convert to fraction form
    49,207.93/67,907.22 = 27,698.10/x
  3. Step 3: Cross multiply
    49,207.93x = 67,907.22 × 27,698.10
  4. Step 4: Simplify right side
    49,207.93x = 1,880,900,611.76
  5. Step 5: Solve for x
    x = 1,880,900,611.76/49,207.93
  6. Step 6: Final answer
    x = 38,223.53

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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.