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Finding the Fourth Proportional to 97,333.82, 146,000.86 and 27,213.06

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Solution

The fourth proportional to 97,333.82, 146,000.86 and 27,213.06 is: 40,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,333.82 : 146,000.86 = 27,213.06 : x
  2. Step 2: Convert to fraction form
    97,333.82/146,000.86 = 27,213.06/x
  3. Step 3: Cross multiply
    97,333.82x = 146,000.86 × 27,213.06
  4. Step 4: Simplify right side
    97,333.82x = 3,973,130,095.20
  5. Step 5: Solve for x
    x = 3,973,130,095.20/97,333.82
  6. Step 6: Final answer
    x = 40,819.63

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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.