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Finding the Fourth Proportional to 33,095, 49,642.50 and 8,471

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Solution

The fourth proportional to 33,095, 49,642.50 and 8,471 is: 12,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,095 : 49,642.50 = 8,471 : x
  2. Step 2: Convert to fraction form
    33,095/49,642.50 = 8,471/x
  3. Step 3: Cross multiply
    33,095x = 49,642.50 × 8,471
  4. Step 4: Simplify right side
    33,095x = 420,521,617.50
  5. Step 5: Solve for x
    x = 420,521,617.50/33,095
  6. Step 6: Final answer
    x = 12,706.50

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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.