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Finding the Fourth Proportional to 97,478.82, 146,188.46 and 41,317.88

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Solution

The fourth proportional to 97,478.82, 146,188.46 and 41,317.88 is: 61,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,478.82 : 146,188.46 = 41,317.88 : x
  2. Step 2: Convert to fraction form
    97,478.82/146,188.46 = 41,317.88/x
  3. Step 3: Cross multiply
    97,478.82x = 146,188.46 × 41,317.88
  4. Step 4: Simplify right side
    97,478.82x = 6,040,196,620.02
  5. Step 5: Solve for x
    x = 6,040,196,620.02/97,478.82
  6. Step 6: Final answer
    x = 61,964.20

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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.