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Finding the Fourth Proportional to 96,207, 144,312.66 and 33,027

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Solution

The fourth proportional to 96,207, 144,312.66 and 33,027 is: 49,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,207 : 144,312.66 = 33,027 : x
  2. Step 2: Convert to fraction form
    96,207/144,312.66 = 33,027/x
  3. Step 3: Cross multiply
    96,207x = 144,312.66 × 33,027
  4. Step 4: Simplify right side
    96,207x = 4,766,214,221.82
  5. Step 5: Solve for x
    x = 4,766,214,221.82/96,207
  6. Step 6: Final answer
    x = 49,541.24

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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.