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Finding the Fourth Proportional to 49,347.32, 68,094.90 and 27,838.64

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Solution

The fourth proportional to 49,347.32, 68,094.90 and 27,838.64 is: 38,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,347.32 : 68,094.90 = 27,838.64 : x
  2. Step 2: Convert to fraction form
    49,347.32/68,094.90 = 27,838.64/x
  3. Step 3: Cross multiply
    49,347.32x = 68,094.90 × 27,838.64
  4. Step 4: Simplify right side
    49,347.32x = 1,895,669,406.94
  5. Step 5: Solve for x
    x = 1,895,669,406.94/49,347.32
  6. Step 6: Final answer
    x = 38,414.84

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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.