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Finding the Fourth Proportional to 85,654.72, 118,203.66 and 47,929

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Solution

The fourth proportional to 85,654.72, 118,203.66 and 47,929 is: 66,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,654.72 : 118,203.66 = 47,929 : x
  2. Step 2: Convert to fraction form
    85,654.72/118,203.66 = 47,929/x
  3. Step 3: Cross multiply
    85,654.72x = 118,203.66 × 47,929
  4. Step 4: Simplify right side
    85,654.72x = 5,665,383,220.14
  5. Step 5: Solve for x
    x = 5,665,383,220.14/85,654.72
  6. Step 6: Final answer
    x = 66,142.10

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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.