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Finding the Fourth Proportional to 47,310.72, 65,282.88 and 27,168.48

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Solution

The fourth proportional to 47,310.72, 65,282.88 and 27,168.48 is: 37,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,310.72 : 65,282.88 = 27,168.48 : x
  2. Step 2: Convert to fraction form
    47,310.72/65,282.88 = 27,168.48/x
  3. Step 3: Cross multiply
    47,310.72x = 65,282.88 × 27,168.48
  4. Step 4: Simplify right side
    47,310.72x = 1,773,636,619.62
  5. Step 5: Solve for x
    x = 1,773,636,619.62/47,310.72
  6. Step 6: Final answer
    x = 37,489.11

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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.