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Finding the Fourth Proportional to 33,259, 49,896.72 and 9,885.34

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Solution

The fourth proportional to 33,259, 49,896.72 and 9,885.34 is: 14,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,259 : 49,896.72 = 9,885.34 : x
  2. Step 2: Convert to fraction form
    33,259/49,896.72 = 9,885.34/x
  3. Step 3: Cross multiply
    33,259x = 49,896.72 × 9,885.34
  4. Step 4: Simplify right side
    33,259x = 493,246,042.08
  5. Step 5: Solve for x
    x = 493,246,042.08/33,259
  6. Step 6: Final answer
    x = 14,830.45

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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.