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Finding the Fourth Proportional to 57,225.21, 78,969.38 and 31,731.68

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Solution

The fourth proportional to 57,225.21, 78,969.38 and 31,731.68 is: 43,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,225.21 : 78,969.38 = 31,731.68 : x
  2. Step 2: Convert to fraction form
    57,225.21/78,969.38 = 31,731.68/x
  3. Step 3: Cross multiply
    57,225.21x = 78,969.38 × 31,731.68
  4. Step 4: Simplify right side
    57,225.21x = 2,505,830,542.45
  5. Step 5: Solve for x
    x = 2,505,830,542.45/57,225.21
  6. Step 6: Final answer
    x = 43,788.93

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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.