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Finding the Fourth Proportional to 52,209.63, 78,323.09 and 17,141.09

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Solution

The fourth proportional to 52,209.63, 78,323.09 and 17,141.09 is: 25,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,209.63 : 78,323.09 = 17,141.09 : x
  2. Step 2: Convert to fraction form
    52,209.63/78,323.09 = 17,141.09/x
  3. Step 3: Cross multiply
    52,209.63x = 78,323.09 × 17,141.09
  4. Step 4: Simplify right side
    52,209.63x = 1,342,542,657.45
  5. Step 5: Solve for x
    x = 1,342,542,657.45/52,209.63
  6. Step 6: Final answer
    x = 25,714.46

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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.