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Finding the Fourth Proportional to 49,532, 68,355.36 and 27,176

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Solution

The fourth proportional to 49,532, 68,355.36 and 27,176 is: 37,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,532 : 68,355.36 = 27,176 : x
  2. Step 2: Convert to fraction form
    49,532/68,355.36 = 27,176/x
  3. Step 3: Cross multiply
    49,532x = 68,355.36 × 27,176
  4. Step 4: Simplify right side
    49,532x = 1,857,625,263.36
  5. Step 5: Solve for x
    x = 1,857,625,263.36/49,532
  6. Step 6: Final answer
    x = 37,503.54

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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.