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Finding the Fourth Proportional to 47,675.48, 65,791.74 and 27,536.60

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Solution

The fourth proportional to 47,675.48, 65,791.74 and 27,536.60 is: 38,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,675.48 : 65,791.74 = 27,536.60 : x
  2. Step 2: Convert to fraction form
    47,675.48/65,791.74 = 27,536.60/x
  3. Step 3: Cross multiply
    47,675.48x = 65,791.74 × 27,536.60
  4. Step 4: Simplify right side
    47,675.48x = 1,811,680,827.68
  5. Step 5: Solve for x
    x = 1,811,680,827.68/47,675.48
  6. Step 6: Final answer
    x = 38,000.26

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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.