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Finding the Fourth Proportional to 32,571, 48,856.54 and 7,947

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Solution

The fourth proportional to 32,571, 48,856.54 and 7,947 is: 11,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,571 : 48,856.54 = 7,947 : x
  2. Step 2: Convert to fraction form
    32,571/48,856.54 = 7,947/x
  3. Step 3: Cross multiply
    32,571x = 48,856.54 × 7,947
  4. Step 4: Simplify right side
    32,571x = 388,262,923.38
  5. Step 5: Solve for x
    x = 388,262,923.38/32,571
  6. Step 6: Final answer
    x = 11,920.51

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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.