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Finding the Fourth Proportional to 50,543.36, 75,802.08 and 20,969.60

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Solution

The fourth proportional to 50,543.36, 75,802.08 and 20,969.60 is: 31,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,543.36 : 75,802.08 = 20,969.60 : x
  2. Step 2: Convert to fraction form
    50,543.36/75,802.08 = 20,969.60/x
  3. Step 3: Cross multiply
    50,543.36x = 75,802.08 × 20,969.60
  4. Step 4: Simplify right side
    50,543.36x = 1,589,539,296.77
  5. Step 5: Solve for x
    x = 1,589,539,296.77/50,543.36
  6. Step 6: Final answer
    x = 31,449.02

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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.