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Finding the Fourth Proportional to 71,457.20, 107,201.16 and 24,077

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Solution

The fourth proportional to 71,457.20, 107,201.16 and 24,077 is: 36,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,457.20 : 107,201.16 = 24,077 : x
  2. Step 2: Convert to fraction form
    71,457.20/107,201.16 = 24,077/x
  3. Step 3: Cross multiply
    71,457.20x = 107,201.16 × 24,077
  4. Step 4: Simplify right side
    71,457.20x = 2,581,082,329.32
  5. Step 5: Solve for x
    x = 2,581,082,329.32/71,457.20
  6. Step 6: Final answer
    x = 36,120.68

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1.5x scale

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.