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Finding the Fourth Proportional to 50,973.12, 70,375.60 and 32,832

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Solution

The fourth proportional to 50,973.12, 70,375.60 and 32,832 is: 45,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,973.12 : 70,375.60 = 32,832 : x
  2. Step 2: Convert to fraction form
    50,973.12/70,375.60 = 32,832/x
  3. Step 3: Cross multiply
    50,973.12x = 70,375.60 × 32,832
  4. Step 4: Simplify right side
    50,973.12x = 2,310,571,699.20
  5. Step 5: Solve for x
    x = 2,310,571,699.20/50,973.12
  6. Step 6: Final answer
    x = 45,329.22

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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.