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Finding the Fourth Proportional to 30,387.32, 45,580.98 and 8,200.69

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Solution

The fourth proportional to 30,387.32, 45,580.98 and 8,200.69 is: 12,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,387.32 : 45,580.98 = 8,200.69 : x
  2. Step 2: Convert to fraction form
    30,387.32/45,580.98 = 8,200.69/x
  3. Step 3: Cross multiply
    30,387.32x = 45,580.98 × 8,200.69
  4. Step 4: Simplify right side
    30,387.32x = 373,795,486.88
  5. Step 5: Solve for x
    x = 373,795,486.88/30,387.32
  6. Step 6: Final answer
    x = 12,301.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.