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Finding the Fourth Proportional to 97,147.70, 145,786.35 and 44,530.10

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Solution

The fourth proportional to 97,147.70, 145,786.35 and 44,530.10 is: 66,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,147.70 : 145,786.35 = 44,530.10 : x
  2. Step 2: Convert to fraction form
    97,147.70/145,786.35 = 44,530.10/x
  3. Step 3: Cross multiply
    97,147.70x = 145,786.35 × 44,530.10
  4. Step 4: Simplify right side
    97,147.70x = 6,491,880,744.14
  5. Step 5: Solve for x
    x = 6,491,880,744.14/97,147.70
  6. Step 6: Final answer
    x = 66,824.85

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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.