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Finding the Fourth Proportional to 49,903.12, 68,865 and 27,546.64

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Solution

The fourth proportional to 49,903.12, 68,865 and 27,546.64 is: 38,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903.12 : 68,865 = 27,546.64 : x
  2. Step 2: Convert to fraction form
    49,903.12/68,865 = 27,546.64/x
  3. Step 3: Cross multiply
    49,903.12x = 68,865 × 27,546.64
  4. Step 4: Simplify right side
    49,903.12x = 1,896,999,363.60
  5. Step 5: Solve for x
    x = 1,896,999,363.60/49,903.12
  6. Step 6: Final answer
    x = 38,013.64

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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.