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Finding the Fourth Proportional to 65,170.76, 97,667.71 and 27,683.82

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Solution

The fourth proportional to 65,170.76, 97,667.71 and 27,683.82 is: 41,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,170.76 : 97,667.71 = 27,683.82 : x
  2. Step 2: Convert to fraction form
    65,170.76/97,667.71 = 27,683.82/x
  3. Step 3: Cross multiply
    65,170.76x = 97,667.71 × 27,683.82
  4. Step 4: Simplify right side
    65,170.76x = 2,703,815,234.24
  5. Step 5: Solve for x
    x = 2,703,815,234.24/65,170.76
  6. Step 6: Final answer
    x = 41,488.17

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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.