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Finding the Fourth Proportional to 57,033.57, 78,709.32 and 34,379.76

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Solution

The fourth proportional to 57,033.57, 78,709.32 and 34,379.76 is: 47,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033.57 : 78,709.32 = 34,379.76 : x
  2. Step 2: Convert to fraction form
    57,033.57/78,709.32 = 34,379.76/x
  3. Step 3: Cross multiply
    57,033.57x = 78,709.32 × 34,379.76
  4. Step 4: Simplify right side
    57,033.57x = 2,706,007,531.36
  5. Step 5: Solve for x
    x = 2,706,007,531.36/57,033.57
  6. Step 6: Final answer
    x = 47,445.87

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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.