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Finding the Fourth Proportional to 70,314.63, 105,596.49 and 67,408.56

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Solution

The fourth proportional to 70,314.63, 105,596.49 and 67,408.56 is: 101,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,314.63 : 105,596.49 = 67,408.56 : x
  2. Step 2: Convert to fraction form
    70,314.63/105,596.49 = 67,408.56/x
  3. Step 3: Cross multiply
    70,314.63x = 105,596.49 × 67,408.56
  4. Step 4: Simplify right side
    70,314.63x = 7,118,107,331.95
  5. Step 5: Solve for x
    x = 7,118,107,331.95/70,314.63
  6. Step 6: Final answer
    x = 101,232.24

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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.