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Finding the Fourth Proportional to 42,138.51, 63,208.17 and 17,173.50

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Solution

The fourth proportional to 42,138.51, 63,208.17 and 17,173.50 is: 25,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.51 : 63,208.17 = 17,173.50 : x
  2. Step 2: Convert to fraction form
    42,138.51/63,208.17 = 17,173.50/x
  3. Step 3: Cross multiply
    42,138.51x = 63,208.17 × 17,173.50
  4. Step 4: Simplify right side
    42,138.51x = 1,085,505,507.50
  5. Step 5: Solve for x
    x = 1,085,505,507.50/42,138.51
  6. Step 6: Final answer
    x = 25,760.42

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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.