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Finding the Fourth Proportional to 33,633.40, 50,448.27 and 10,258

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Solution

The fourth proportional to 33,633.40, 50,448.27 and 10,258 is: 15,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.40 : 50,448.27 = 10,258 : x
  2. Step 2: Convert to fraction form
    33,633.40/50,448.27 = 10,258/x
  3. Step 3: Cross multiply
    33,633.40x = 50,448.27 × 10,258
  4. Step 4: Simplify right side
    33,633.40x = 517,498,353.66
  5. Step 5: Solve for x
    x = 517,498,353.66/33,633.40
  6. Step 6: Final answer
    x = 15,386.44

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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.