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Finding the Fourth Proportional to 35,654.70, 49,204.62 and 20,546.16

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Solution

The fourth proportional to 35,654.70, 49,204.62 and 20,546.16 is: 28,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654.70 : 49,204.62 = 20,546.16 : x
  2. Step 2: Convert to fraction form
    35,654.70/49,204.62 = 20,546.16/x
  3. Step 3: Cross multiply
    35,654.70x = 49,204.62 × 20,546.16
  4. Step 4: Simplify right side
    35,654.70x = 1,010,965,995.26
  5. Step 5: Solve for x
    x = 1,010,965,995.26/35,654.70
  6. Step 6: Final answer
    x = 28,354.35

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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.