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Finding the Fourth Proportional to 131,086, 196,629.72 and 32,590

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Solution

The fourth proportional to 131,086, 196,629.72 and 32,590 is: 48,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,086 : 196,629.72 = 32,590 : x
  2. Step 2: Convert to fraction form
    131,086/196,629.72 = 32,590/x
  3. Step 3: Cross multiply
    131,086x = 196,629.72 × 32,590
  4. Step 4: Simplify right side
    131,086x = 6,408,162,574.80
  5. Step 5: Solve for x
    x = 6,408,162,574.80/131,086
  6. Step 6: Final answer
    x = 48,885.18

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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.