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Finding the Fourth Proportional to 99,576, 149,364 and 25,704

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Solution

The fourth proportional to 99,576, 149,364 and 25,704 is: 38,556

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,576 : 149,364 = 25,704 : x
  2. Step 2: Convert to fraction form
    99,576/149,364 = 25,704/x
  3. Step 3: Cross multiply
    99,576x = 149,364 × 25,704
  4. Step 4: Simplify right side
    99,576x = 3,839,252,256
  5. Step 5: Solve for x
    x = 3,839,252,256/99,576
  6. Step 6: Final answer
    x = 38,556

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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.