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Finding the Fourth Proportional to 47,377, 65,380.26 and 27,505

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Solution

The fourth proportional to 47,377, 65,380.26 and 27,505 is: 37,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,377 : 65,380.26 = 27,505 : x
  2. Step 2: Convert to fraction form
    47,377/65,380.26 = 27,505/x
  3. Step 3: Cross multiply
    47,377x = 65,380.26 × 27,505
  4. Step 4: Simplify right side
    47,377x = 1,798,284,051.30
  5. Step 5: Solve for x
    x = 1,798,284,051.30/47,377
  6. Step 6: Final answer
    x = 37,956.90

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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.