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Finding the Fourth Proportional to 49,536, 68,360.88 and 27,180

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Solution

The fourth proportional to 49,536, 68,360.88 and 27,180 is: 37,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,536 : 68,360.88 = 27,180 : x
  2. Step 2: Convert to fraction form
    49,536/68,360.88 = 27,180/x
  3. Step 3: Cross multiply
    49,536x = 68,360.88 × 27,180
  4. Step 4: Simplify right side
    49,536x = 1,858,048,718.40
  5. Step 5: Solve for x
    x = 1,858,048,718.40/49,536
  6. Step 6: Final answer
    x = 37,509.06

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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.