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Finding the Fourth Proportional to 97,267.32, 145,902.42 and 27,147

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Solution

The fourth proportional to 97,267.32, 145,902.42 and 27,147 is: 40,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,267.32 : 145,902.42 = 27,147 : x
  2. Step 2: Convert to fraction form
    97,267.32/145,902.42 = 27,147/x
  3. Step 3: Cross multiply
    97,267.32x = 145,902.42 × 27,147
  4. Step 4: Simplify right side
    97,267.32x = 3,960,812,995.74
  5. Step 5: Solve for x
    x = 3,960,812,995.74/97,267.32
  6. Step 6: Final answer
    x = 40,720.90

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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.