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Finding the Fourth Proportional to 50,418, 75,576.90 and 24,092

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Solution

The fourth proportional to 50,418, 75,576.90 and 24,092 is: 36,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,418 : 75,576.90 = 24,092 : x
  2. Step 2: Convert to fraction form
    50,418/75,576.90 = 24,092/x
  3. Step 3: Cross multiply
    50,418x = 75,576.90 × 24,092
  4. Step 4: Simplify right side
    50,418x = 1,820,798,674.80
  5. Step 5: Solve for x
    x = 1,820,798,674.80/50,418
  6. Step 6: Final answer
    x = 36,114.06

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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.