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Finding the Fourth Proportional to 51,807.44, 71,494.15 and 29,146.44

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Solution

The fourth proportional to 51,807.44, 71,494.15 and 29,146.44 is: 40,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.44 : 71,494.15 = 29,146.44 : x
  2. Step 2: Convert to fraction form
    51,807.44/71,494.15 = 29,146.44/x
  3. Step 3: Cross multiply
    51,807.44x = 71,494.15 × 29,146.44
  4. Step 4: Simplify right side
    51,807.44x = 2,083,799,953.33
  5. Step 5: Solve for x
    x = 2,083,799,953.33/51,807.44
  6. Step 6: Final answer
    x = 40,222.02

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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.