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Finding the Fourth Proportional to 50,470.98, 75,718.44 and 15,408.42

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Solution

The fourth proportional to 50,470.98, 75,718.44 and 15,408.42 is: 23,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.98 : 75,718.44 = 15,408.42 : x
  2. Step 2: Convert to fraction form
    50,470.98/75,718.44 = 15,408.42/x
  3. Step 3: Cross multiply
    50,470.98x = 75,718.44 × 15,408.42
  4. Step 4: Simplify right side
    50,470.98x = 1,166,701,525.26
  5. Step 5: Solve for x
    x = 1,166,701,525.26/50,470.98
  6. Step 6: Final answer
    x = 23,116.28

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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.