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Finding the Fourth Proportional to 50,283.43, 75,424.05 and 12,843.50

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Solution

The fourth proportional to 50,283.43, 75,424.05 and 12,843.50 is: 19,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,283.43 : 75,424.05 = 12,843.50 : x
  2. Step 2: Convert to fraction form
    50,283.43/75,424.05 = 12,843.50/x
  3. Step 3: Cross multiply
    50,283.43x = 75,424.05 × 12,843.50
  4. Step 4: Simplify right side
    50,283.43x = 968,708,409.05
  5. Step 5: Solve for x
    x = 968,708,409.05/50,283.43
  6. Step 6: Final answer
    x = 19,264.96

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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.