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Finding the Fourth Proportional to 51,708.38, 71,357.63 and 29,352.38

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Solution

The fourth proportional to 51,708.38, 71,357.63 and 29,352.38 is: 40,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,708.38 : 71,357.63 = 29,352.38 : x
  2. Step 2: Convert to fraction form
    51,708.38/71,357.63 = 29,352.38/x
  3. Step 3: Cross multiply
    51,708.38x = 71,357.63 × 29,352.38
  4. Step 4: Simplify right side
    51,708.38x = 2,094,515,768.11
  5. Step 5: Solve for x
    x = 2,094,515,768.11/51,708.38
  6. Step 6: Final answer
    x = 40,506.32

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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.