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Finding the Fourth Proportional to 97,551.30, 146,311.70 and 30,982.68

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Solution

The fourth proportional to 97,551.30, 146,311.70 and 30,982.68 is: 46,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,551.30 : 146,311.70 = 30,982.68 : x
  2. Step 2: Convert to fraction form
    97,551.30/146,311.70 = 30,982.68/x
  3. Step 3: Cross multiply
    97,551.30x = 146,311.70 × 30,982.68
  4. Step 4: Simplify right side
    97,551.30x = 4,533,128,581.36
  5. Step 5: Solve for x
    x = 4,533,128,581.36/97,551.30
  6. Step 6: Final answer
    x = 46,469.18

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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.