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Finding the Fourth Proportional to 131,007, 196,510.50 and 32,511

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Solution

The fourth proportional to 131,007, 196,510.50 and 32,511 is: 48,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,007 : 196,510.50 = 32,511 : x
  2. Step 2: Convert to fraction form
    131,007/196,510.50 = 32,511/x
  3. Step 3: Cross multiply
    131,007x = 196,510.50 × 32,511
  4. Step 4: Simplify right side
    131,007x = 6,388,752,865.50
  5. Step 5: Solve for x
    x = 6,388,752,865.50/131,007
  6. Step 6: Final answer
    x = 48,766.50

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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.