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Finding the Fourth Proportional to 51,007.26, 76,525.77 and 21,409.50

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Solution

The fourth proportional to 51,007.26, 76,525.77 and 21,409.50 is: 32,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,007.26 : 76,525.77 = 21,409.50 : x
  2. Step 2: Convert to fraction form
    51,007.26/76,525.77 = 21,409.50/x
  3. Step 3: Cross multiply
    51,007.26x = 76,525.77 × 21,409.50
  4. Step 4: Simplify right side
    51,007.26x = 1,638,378,472.82
  5. Step 5: Solve for x
    x = 1,638,378,472.82/51,007.26
  6. Step 6: Final answer
    x = 32,120.50

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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.