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Finding the Fourth Proportional to 46,654.56, 64,383.12 and 27,534.48

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Solution

The fourth proportional to 46,654.56, 64,383.12 and 27,534.48 is: 37,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,654.56 : 64,383.12 = 27,534.48 : x
  2. Step 2: Convert to fraction form
    46,654.56/64,383.12 = 27,534.48/x
  3. Step 3: Cross multiply
    46,654.56x = 64,383.12 × 27,534.48
  4. Step 4: Simplify right side
    46,654.56x = 1,772,755,729.98
  5. Step 5: Solve for x
    x = 1,772,755,729.98/46,654.56
  6. Step 6: Final answer
    x = 37,997.48

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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.