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Finding the Fourth Proportional to 30,387.59, 45,581.38 and 8,200.96

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Solution

The fourth proportional to 30,387.59, 45,581.38 and 8,200.96 is: 12,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,387.59 : 45,581.38 = 8,200.96 : x
  2. Step 2: Convert to fraction form
    30,387.59/45,581.38 = 8,200.96/x
  3. Step 3: Cross multiply
    30,387.59x = 45,581.38 × 8,200.96
  4. Step 4: Simplify right side
    30,387.59x = 373,811,074.12
  5. Step 5: Solve for x
    x = 373,811,074.12/30,387.59
  6. Step 6: Final answer
    x = 12,301.44

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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.