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Finding the Fourth Proportional to 67,522.74, 101,305.98 and 32,457.84

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Solution

The fourth proportional to 67,522.74, 101,305.98 and 32,457.84 is: 48,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,522.74 : 101,305.98 = 32,457.84 : x
  2. Step 2: Convert to fraction form
    67,522.74/101,305.98 = 32,457.84/x
  3. Step 3: Cross multiply
    67,522.74x = 101,305.98 × 32,457.84
  4. Step 4: Simplify right side
    67,522.74x = 3,288,173,289.88
  5. Step 5: Solve for x
    x = 3,288,173,289.88/67,522.74
  6. Step 6: Final answer
    x = 48,697.27

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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.