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Finding the Fourth Proportional to 51,751.25, 71,416.09 and 29,094.02

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Solution

The fourth proportional to 51,751.25, 71,416.09 and 29,094.02 is: 40,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,751.25 : 71,416.09 = 29,094.02 : x
  2. Step 2: Convert to fraction form
    51,751.25/71,416.09 = 29,094.02/x
  3. Step 3: Cross multiply
    51,751.25x = 71,416.09 × 29,094.02
  4. Step 4: Simplify right side
    51,751.25x = 2,077,781,150.78
  5. Step 5: Solve for x
    x = 2,077,781,150.78/51,751.25
  6. Step 6: Final answer
    x = 40,149.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.