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Finding the Fourth Proportional to 60,942.34, 91,402.30 and 27,654.40

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Solution

The fourth proportional to 60,942.34, 91,402.30 and 27,654.40 is: 41,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,942.34 : 91,402.30 = 27,654.40 : x
  2. Step 2: Convert to fraction form
    60,942.34/91,402.30 = 27,654.40/x
  3. Step 3: Cross multiply
    60,942.34x = 91,402.30 × 27,654.40
  4. Step 4: Simplify right side
    60,942.34x = 2,527,675,765.12
  5. Step 5: Solve for x
    x = 2,527,675,765.12/60,942.34
  6. Step 6: Final answer
    x = 41,476.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.