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Finding the Fourth Proportional to 33,102.66, 49,654.01 and 9,745.50

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Solution

The fourth proportional to 33,102.66, 49,654.01 and 9,745.50 is: 14,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.66 : 49,654.01 = 9,745.50 : x
  2. Step 2: Convert to fraction form
    33,102.66/49,654.01 = 9,745.50/x
  3. Step 3: Cross multiply
    33,102.66x = 49,654.01 × 9,745.50
  4. Step 4: Simplify right side
    33,102.66x = 483,903,154.46
  5. Step 5: Solve for x
    x = 483,903,154.46/33,102.66
  6. Step 6: Final answer
    x = 14,618.26

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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.