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Finding the Fourth Proportional to 131,314, 196,971.24 and 32,818

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Solution

The fourth proportional to 131,314, 196,971.24 and 32,818 is: 49,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,314 : 196,971.24 = 32,818 : x
  2. Step 2: Convert to fraction form
    131,314/196,971.24 = 32,818/x
  3. Step 3: Cross multiply
    131,314x = 196,971.24 × 32,818
  4. Step 4: Simplify right side
    131,314x = 6,464,202,154.32
  5. Step 5: Solve for x
    x = 6,464,202,154.32/131,314
  6. Step 6: Final answer
    x = 49,227.06

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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.