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Finding the Fourth Proportional to 131,861.60, 197,790.60 and 32,021

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Solution

The fourth proportional to 131,861.60, 197,790.60 and 32,021 is: 48,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,861.60 : 197,790.60 = 32,021 : x
  2. Step 2: Convert to fraction form
    131,861.60/197,790.60 = 32,021/x
  3. Step 3: Cross multiply
    131,861.60x = 197,790.60 × 32,021
  4. Step 4: Simplify right side
    131,861.60x = 6,333,452,802.60
  5. Step 5: Solve for x
    x = 6,333,452,802.60/131,861.60
  6. Step 6: Final answer
    x = 48,031.06

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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.