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Finding the Fourth Proportional to 30,832.80, 46,246.82 and 8,645

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Solution

The fourth proportional to 30,832.80, 46,246.82 and 8,645 is: 12,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.80 : 46,246.82 = 8,645 : x
  2. Step 2: Convert to fraction form
    30,832.80/46,246.82 = 8,645/x
  3. Step 3: Cross multiply
    30,832.80x = 46,246.82 × 8,645
  4. Step 4: Simplify right side
    30,832.80x = 399,803,758.90
  5. Step 5: Solve for x
    x = 399,803,758.90/30,832.80
  6. Step 6: Final answer
    x = 12,966.83

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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.