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Finding the Fourth Proportional to 77,742.54, 116,397.24 and 39,709.44

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Solution

The fourth proportional to 77,742.54, 116,397.24 and 39,709.44 is: 59,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742.54 : 116,397.24 = 39,709.44 : x
  2. Step 2: Convert to fraction form
    77,742.54/116,397.24 = 39,709.44/x
  3. Step 3: Cross multiply
    77,742.54x = 116,397.24 × 39,709.44
  4. Step 4: Simplify right side
    77,742.54x = 4,622,069,217.95
  5. Step 5: Solve for x
    x = 4,622,069,217.95/77,742.54
  6. Step 6: Final answer
    x = 59,453.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.