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Finding the Fourth Proportional to 70,012.46, 104,699.46 and 52,255.64

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Solution

The fourth proportional to 70,012.46, 104,699.46 and 52,255.64 is: 78,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,012.46 : 104,699.46 = 52,255.64 : x
  2. Step 2: Convert to fraction form
    70,012.46/104,699.46 = 52,255.64/x
  3. Step 3: Cross multiply
    70,012.46x = 104,699.46 × 52,255.64
  4. Step 4: Simplify right side
    70,012.46x = 5,471,137,289.95
  5. Step 5: Solve for x
    x = 5,471,137,289.95/70,012.46
  6. Step 6: Final answer
    x = 78,145.19

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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.