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Finding the Fourth Proportional to 57,135.38, 78,846.82 and 34,779.38

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Solution

The fourth proportional to 57,135.38, 78,846.82 and 34,779.38 is: 47,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.38 : 78,846.82 = 34,779.38 : x
  2. Step 2: Convert to fraction form
    57,135.38/78,846.82 = 34,779.38/x
  3. Step 3: Cross multiply
    57,135.38x = 78,846.82 × 34,779.38
  4. Step 4: Simplify right side
    57,135.38x = 2,742,243,033.39
  5. Step 5: Solve for x
    x = 2,742,243,033.39/57,135.38
  6. Step 6: Final answer
    x = 47,995.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.