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Finding the Fourth Proportional to 97,404.21, 146,081.70 and 49,992.78

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Solution

The fourth proportional to 97,404.21, 146,081.70 and 49,992.78 is: 74,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,404.21 : 146,081.70 = 49,992.78 : x
  2. Step 2: Convert to fraction form
    97,404.21/146,081.70 = 49,992.78/x
  3. Step 3: Cross multiply
    97,404.21x = 146,081.70 × 49,992.78
  4. Step 4: Simplify right side
    97,404.21x = 7,303,030,290.13
  5. Step 5: Solve for x
    x = 7,303,030,290.13/97,404.21
  6. Step 6: Final answer
    x = 74,976.54

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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.