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Finding the Fourth Proportional to 57,111.68, 78,813.60 and 31,961.44

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Solution

The fourth proportional to 57,111.68, 78,813.60 and 31,961.44 is: 44,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111.68 : 78,813.60 = 31,961.44 : x
  2. Step 2: Convert to fraction form
    57,111.68/78,813.60 = 31,961.44/x
  3. Step 3: Cross multiply
    57,111.68x = 78,813.60 × 31,961.44
  4. Step 4: Simplify right side
    57,111.68x = 2,518,996,147.58
  5. Step 5: Solve for x
    x = 2,518,996,147.58/57,111.68
  6. Step 6: Final answer
    x = 44,106.50

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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.