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Finding the Fourth Proportional to 51,497.52, 77,145.03 and 33,914.04

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Solution

The fourth proportional to 51,497.52, 77,145.03 and 33,914.04 is: 50,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,497.52 : 77,145.03 = 33,914.04 : x
  2. Step 2: Convert to fraction form
    51,497.52/77,145.03 = 33,914.04/x
  3. Step 3: Cross multiply
    51,497.52x = 77,145.03 × 33,914.04
  4. Step 4: Simplify right side
    51,497.52x = 2,616,299,633.22
  5. Step 5: Solve for x
    x = 2,616,299,633.22/51,497.52
  6. Step 6: Final answer
    x = 50,804.38

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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.