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Finding the Fourth Proportional to 96,967.76, 133,814.70 and 54,525.38

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Solution

The fourth proportional to 96,967.76, 133,814.70 and 54,525.38 is: 75,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,967.76 : 133,814.70 = 54,525.38 : x
  2. Step 2: Convert to fraction form
    96,967.76/133,814.70 = 54,525.38/x
  3. Step 3: Cross multiply
    96,967.76x = 133,814.70 × 54,525.38
  4. Step 4: Simplify right side
    96,967.76x = 7,296,296,698.01
  5. Step 5: Solve for x
    x = 7,296,296,698.01/96,967.76
  6. Step 6: Final answer
    x = 75,244.57

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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.