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Finding the Fourth Proportional to 95,648.64, 132,000 and 53,208

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Solution

The fourth proportional to 95,648.64, 132,000 and 53,208 is: 73,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,648.64 : 132,000 = 53,208 : x
  2. Step 2: Convert to fraction form
    95,648.64/132,000 = 53,208/x
  3. Step 3: Cross multiply
    95,648.64x = 132,000 × 53,208
  4. Step 4: Simplify right side
    95,648.64x = 7,023,456,000
  5. Step 5: Solve for x
    x = 7,023,456,000/95,648.64
  6. Step 6: Final answer
    x = 73,429.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.