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Finding the Fourth Proportional to 92,536.40, 138,610.20 and 50,934.80

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Solution

The fourth proportional to 92,536.40, 138,610.20 and 50,934.80 is: 76,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,536.40 : 138,610.20 = 50,934.80 : x
  2. Step 2: Convert to fraction form
    92,536.40/138,610.20 = 50,934.80/x
  3. Step 3: Cross multiply
    92,536.40x = 138,610.20 × 50,934.80
  4. Step 4: Simplify right side
    92,536.40x = 7,060,082,814.96
  5. Step 5: Solve for x
    x = 7,060,082,814.96/92,536.40
  6. Step 6: Final answer
    x = 76,295.20

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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.