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Finding the Fourth Proportional to 48,270, 66,546.90 and 36,188.64

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Solution

The fourth proportional to 48,270, 66,546.90 and 36,188.64 is: 49,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,270 : 66,546.90 = 36,188.64 : x
  2. Step 2: Convert to fraction form
    48,270/66,546.90 = 36,188.64/x
  3. Step 3: Cross multiply
    48,270x = 66,546.90 × 36,188.64
  4. Step 4: Simplify right side
    48,270x = 2,408,241,807.22
  5. Step 5: Solve for x
    x = 2,408,241,807.22/48,270
  6. Step 6: Final answer
    x = 49,891.07

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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.