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Finding the Fourth Proportional to 50,823.41, 70,148.00 and 33,828.32

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Solution

The fourth proportional to 50,823.41, 70,148.00 and 33,828.32 is: 46,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,823.41 : 70,148.00 = 33,828.32 : x
  2. Step 2: Convert to fraction form
    50,823.41/70,148.00 = 33,828.32/x
  3. Step 3: Cross multiply
    50,823.41x = 70,148.00 × 33,828.32
  4. Step 4: Simplify right side
    50,823.41x = 2,372,989,251.30
  5. Step 5: Solve for x
    x = 2,372,989,251.30/50,823.41
  6. Step 6: Final answer
    x = 46,690.88

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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.