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Finding the Fourth Proportional to 70,322.58, 105,408.24 and 34,734.64

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Solution

The fourth proportional to 70,322.58, 105,408.24 and 34,734.64 is: 52,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,322.58 : 105,408.24 = 34,734.64 : x
  2. Step 2: Convert to fraction form
    70,322.58/105,408.24 = 34,734.64/x
  3. Step 3: Cross multiply
    70,322.58x = 105,408.24 × 34,734.64
  4. Step 4: Simplify right side
    70,322.58x = 3,661,317,269.43
  5. Step 5: Solve for x
    x = 3,661,317,269.43/70,322.58
  6. Step 6: Final answer
    x = 52,064.60

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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.