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Finding the Fourth Proportional to 97,564.40, 146,231.40 and 41,404.40

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Solution

The fourth proportional to 97,564.40, 146,231.40 and 41,404.40 is: 62,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,564.40 : 146,231.40 = 41,404.40 : x
  2. Step 2: Convert to fraction form
    97,564.40/146,231.40 = 41,404.40/x
  3. Step 3: Cross multiply
    97,564.40x = 146,231.40 × 41,404.40
  4. Step 4: Simplify right side
    97,564.40x = 6,054,623,378.16
  5. Step 5: Solve for x
    x = 6,054,623,378.16/97,564.40
  6. Step 6: Final answer
    x = 62,057.71

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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.