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Finding the Fourth Proportional to 57,688.94, 78,542.80 and 57,511.24

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Solution

The fourth proportional to 57,688.94, 78,542.80 and 57,511.24 is: 78,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,688.94 : 78,542.80 = 57,511.24 : x
  2. Step 2: Convert to fraction form
    57,688.94/78,542.80 = 57,511.24/x
  3. Step 3: Cross multiply
    57,688.94x = 78,542.80 × 57,511.24
  4. Step 4: Simplify right side
    57,688.94x = 4,517,093,480.94
  5. Step 5: Solve for x
    x = 4,517,093,480.94/57,688.94
  6. Step 6: Final answer
    x = 78,300.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.