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Finding the Fourth Proportional to 30,646.20, 45,963.82 and 8,157

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Solution

The fourth proportional to 30,646.20, 45,963.82 and 8,157 is: 12,234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.20 : 45,963.82 = 8,157 : x
  2. Step 2: Convert to fraction form
    30,646.20/45,963.82 = 8,157/x
  3. Step 3: Cross multiply
    30,646.20x = 45,963.82 × 8,157
  4. Step 4: Simplify right side
    30,646.20x = 374,926,879.74
  5. Step 5: Solve for x
    x = 374,926,879.74/30,646.20
  6. Step 6: Final answer
    x = 12,234.04

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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.