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Finding the Fourth Proportional to 49,318, 68,059.92 and 26,962

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Solution

The fourth proportional to 49,318, 68,059.92 and 26,962 is: 37,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,318 : 68,059.92 = 26,962 : x
  2. Step 2: Convert to fraction form
    49,318/68,059.92 = 26,962/x
  3. Step 3: Cross multiply
    49,318x = 68,059.92 × 26,962
  4. Step 4: Simplify right side
    49,318x = 1,835,031,563.04
  5. Step 5: Solve for x
    x = 1,835,031,563.04/49,318
  6. Step 6: Final answer
    x = 37,208.15

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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.