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Finding the Fourth Proportional to 47,107, 64,963 and 30,945.88

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Solution

The fourth proportional to 47,107, 64,963 and 30,945.88 is: 42,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,107 : 64,963 = 30,945.88 : x
  2. Step 2: Convert to fraction form
    47,107/64,963 = 30,945.88/x
  3. Step 3: Cross multiply
    47,107x = 64,963 × 30,945.88
  4. Step 4: Simplify right side
    47,107x = 2,010,337,202.44
  5. Step 5: Solve for x
    x = 2,010,337,202.44/47,107
  6. Step 6: Final answer
    x = 42,675.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.