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Finding the Fourth Proportional to 33,263.54, 49,898.01 and 9,890

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Solution

The fourth proportional to 33,263.54, 49,898.01 and 9,890 is: 14,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,263.54 : 49,898.01 = 9,890 : x
  2. Step 2: Convert to fraction form
    33,263.54/49,898.01 = 9,890/x
  3. Step 3: Cross multiply
    33,263.54x = 49,898.01 × 9,890
  4. Step 4: Simplify right side
    33,263.54x = 493,491,318.90
  5. Step 5: Solve for x
    x = 493,491,318.90/33,263.54
  6. Step 6: Final answer
    x = 14,835.80

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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.