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Finding the Fourth Proportional to 114,425.31, 171,638 and 35,539.55

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Solution

The fourth proportional to 114,425.31, 171,638 and 35,539.55 is: 53,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,425.31 : 171,638 = 35,539.55 : x
  2. Step 2: Convert to fraction form
    114,425.31/171,638 = 35,539.55/x
  3. Step 3: Cross multiply
    114,425.31x = 171,638 × 35,539.55
  4. Step 4: Simplify right side
    114,425.31x = 6,099,937,282.90
  5. Step 5: Solve for x
    x = 6,099,937,282.90/114,425.31
  6. Step 6: Final answer
    x = 53,309.34

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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.