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Finding the Fourth Proportional to 97,346.80, 146,009.40 and 27,233.20

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Solution

The fourth proportional to 97,346.80, 146,009.40 and 27,233.20 is: 40,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,346.80 : 146,009.40 = 27,233.20 : x
  2. Step 2: Convert to fraction form
    97,346.80/146,009.40 = 27,233.20/x
  3. Step 3: Cross multiply
    97,346.80x = 146,009.40 × 27,233.20
  4. Step 4: Simplify right side
    97,346.80x = 3,976,303,192.08
  5. Step 5: Solve for x
    x = 3,976,303,192.08/97,346.80
  6. Step 6: Final answer
    x = 40,846.78

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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.