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Finding the Fourth Proportional to 50,407.46, 75,560.36 and 31,700.86

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Solution

The fourth proportional to 50,407.46, 75,560.36 and 31,700.86 is: 47,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,407.46 : 75,560.36 = 31,700.86 : x
  2. Step 2: Convert to fraction form
    50,407.46/75,560.36 = 31,700.86/x
  3. Step 3: Cross multiply
    50,407.46x = 75,560.36 × 31,700.86
  4. Step 4: Simplify right side
    50,407.46x = 2,395,328,046.50
  5. Step 5: Solve for x
    x = 2,395,328,046.50/50,407.46
  6. Step 6: Final answer
    x = 47,519.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.