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Finding the Fourth Proportional to 47,361.64, 70,974.66 and 34,783

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Solution

The fourth proportional to 47,361.64, 70,974.66 and 34,783 is: 52,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,361.64 : 70,974.66 = 34,783 : x
  2. Step 2: Convert to fraction form
    47,361.64/70,974.66 = 34,783/x
  3. Step 3: Cross multiply
    47,361.64x = 70,974.66 × 34,783
  4. Step 4: Simplify right side
    47,361.64x = 2,468,711,598.78
  5. Step 5: Solve for x
    x = 2,468,711,598.78/47,361.64
  6. Step 6: Final answer
    x = 52,124.71

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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.