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Finding the Fourth Proportional to 131,084, 196,626.72 and 32,588

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Solution

The fourth proportional to 131,084, 196,626.72 and 32,588 is: 48,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,084 : 196,626.72 = 32,588 : x
  2. Step 2: Convert to fraction form
    131,084/196,626.72 = 32,588/x
  3. Step 3: Cross multiply
    131,084x = 196,626.72 × 32,588
  4. Step 4: Simplify right side
    131,084x = 6,407,671,551.36
  5. Step 5: Solve for x
    x = 6,407,671,551.36/131,084
  6. Step 6: Final answer
    x = 48,882.18

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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.