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Finding the Fourth Proportional to 97,488, 146,231.28 and 27,367.32

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Solution

The fourth proportional to 97,488, 146,231.28 and 27,367.32 is: 41,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,488 : 146,231.28 = 27,367.32 : x
  2. Step 2: Convert to fraction form
    97,488/146,231.28 = 27,367.32/x
  3. Step 3: Cross multiply
    97,488x = 146,231.28 × 27,367.32
  4. Step 4: Simplify right side
    97,488x = 4,001,958,233.77
  5. Step 5: Solve for x
    x = 4,001,958,233.77/97,488
  6. Step 6: Final answer
    x = 41,050.78

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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.