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Finding the Fourth Proportional to 33,875.83, 50,813.78 and 14,143.63

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Solution

The fourth proportional to 33,875.83, 50,813.78 and 14,143.63 is: 21,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,875.83 : 50,813.78 = 14,143.63 : x
  2. Step 2: Convert to fraction form
    33,875.83/50,813.78 = 14,143.63/x
  3. Step 3: Cross multiply
    33,875.83x = 50,813.78 × 14,143.63
  4. Step 4: Simplify right side
    33,875.83x = 718,691,232.50
  5. Step 5: Solve for x
    x = 718,691,232.50/33,875.83
  6. Step 6: Final answer
    x = 21,215.46

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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.