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Finding the Fourth Proportional to 95,633, 131,973.54 and 55,889

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Solution

The fourth proportional to 95,633, 131,973.54 and 55,889 is: 77,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,633 : 131,973.54 = 55,889 : x
  2. Step 2: Convert to fraction form
    95,633/131,973.54 = 55,889/x
  3. Step 3: Cross multiply
    95,633x = 131,973.54 × 55,889
  4. Step 4: Simplify right side
    95,633x = 7,375,869,177.06
  5. Step 5: Solve for x
    x = 7,375,869,177.06/95,633
  6. Step 6: Final answer
    x = 77,126.82

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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.