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Finding the Fourth Proportional to 34,213.68, 51,268.68 and 25,407.60

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Solution

The fourth proportional to 34,213.68, 51,268.68 and 25,407.60 is: 38,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.68 : 51,268.68 = 25,407.60 : x
  2. Step 2: Convert to fraction form
    34,213.68/51,268.68 = 25,407.60/x
  3. Step 3: Cross multiply
    34,213.68x = 51,268.68 × 25,407.60
  4. Step 4: Simplify right side
    34,213.68x = 1,302,614,113.97
  5. Step 5: Solve for x
    x = 1,302,614,113.97/34,213.68
  6. Step 6: Final answer
    x = 38,072.90

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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.