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Finding the Fourth Proportional to 101,667.28, 152,457.72 and 41,654.44

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Solution

The fourth proportional to 101,667.28, 152,457.72 and 41,654.44 is: 62,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,667.28 : 152,457.72 = 41,654.44 : x
  2. Step 2: Convert to fraction form
    101,667.28/152,457.72 = 41,654.44/x
  3. Step 3: Cross multiply
    101,667.28x = 152,457.72 × 41,654.44
  4. Step 4: Simplify right side
    101,667.28x = 6,350,540,950.28
  5. Step 5: Solve for x
    x = 6,350,540,950.28/101,667.28
  6. Step 6: Final answer
    x = 62,463.96

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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.