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Finding the Fourth Proportional to 100,982.40, 151,473.60 and 34,416.60

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Solution

The fourth proportional to 100,982.40, 151,473.60 and 34,416.60 is: 51,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,982.40 : 151,473.60 = 34,416.60 : x
  2. Step 2: Convert to fraction form
    100,982.40/151,473.60 = 34,416.60/x
  3. Step 3: Cross multiply
    100,982.40x = 151,473.60 × 34,416.60
  4. Step 4: Simplify right side
    100,982.40x = 5,213,206,301.76
  5. Step 5: Solve for x
    x = 5,213,206,301.76/100,982.40
  6. Step 6: Final answer
    x = 51,624.90

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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.