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Finding the Fourth Proportional to 50,864.42, 70,250.38 and 34,704

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Solution

The fourth proportional to 50,864.42, 70,250.38 and 34,704 is: 47,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,864.42 : 70,250.38 = 34,704 : x
  2. Step 2: Convert to fraction form
    50,864.42/70,250.38 = 34,704/x
  3. Step 3: Cross multiply
    50,864.42x = 70,250.38 × 34,704
  4. Step 4: Simplify right side
    50,864.42x = 2,437,969,187.52
  5. Step 5: Solve for x
    x = 2,437,969,187.52/50,864.42
  6. Step 6: Final answer
    x = 47,930.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.