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Finding the Fourth Proportional to 35,654.98, 49,209.60 and 27,143.50

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Solution

The fourth proportional to 35,654.98, 49,209.60 and 27,143.50 is: 37,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654.98 : 49,209.60 = 27,143.50 : x
  2. Step 2: Convert to fraction form
    35,654.98/49,209.60 = 27,143.50/x
  3. Step 3: Cross multiply
    35,654.98x = 49,209.60 × 27,143.50
  4. Step 4: Simplify right side
    35,654.98x = 1,335,720,777.60
  5. Step 5: Solve for x
    x = 1,335,720,777.60/35,654.98
  6. Step 6: Final answer
    x = 37,462.39

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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.