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Finding the Fourth Proportional to 71,122.78, 106,900.14 and 47,514.10

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Solution

The fourth proportional to 71,122.78, 106,900.14 and 47,514.10 is: 71,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,122.78 : 106,900.14 = 47,514.10 : x
  2. Step 2: Convert to fraction form
    71,122.78/106,900.14 = 47,514.10/x
  3. Step 3: Cross multiply
    71,122.78x = 106,900.14 × 47,514.10
  4. Step 4: Simplify right side
    71,122.78x = 5,079,263,941.97
  5. Step 5: Solve for x
    x = 5,079,263,941.97/71,122.78
  6. Step 6: Final answer
    x = 71,415.43

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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.