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Finding the Fourth Proportional to 33,558.36, 50,337.70 and 10,185

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Solution

The fourth proportional to 33,558.36, 50,337.70 and 10,185 is: 15,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,558.36 : 50,337.70 = 10,185 : x
  2. Step 2: Convert to fraction form
    33,558.36/50,337.70 = 10,185/x
  3. Step 3: Cross multiply
    33,558.36x = 50,337.70 × 10,185
  4. Step 4: Simplify right side
    33,558.36x = 512,689,474.50
  5. Step 5: Solve for x
    x = 512,689,474.50/33,558.36
  6. Step 6: Final answer
    x = 15,277.55

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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.