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Finding the Fourth Proportional to 30,327.80, 45,491.64 and 8,140.58

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Solution

The fourth proportional to 30,327.80, 45,491.64 and 8,140.58 is: 12,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,327.80 : 45,491.64 = 8,140.58 : x
  2. Step 2: Convert to fraction form
    30,327.80/45,491.64 = 8,140.58/x
  3. Step 3: Cross multiply
    30,327.80x = 45,491.64 × 8,140.58
  4. Step 4: Simplify right side
    30,327.80x = 370,328,334.75
  5. Step 5: Solve for x
    x = 370,328,334.75/30,327.80
  6. Step 6: Final answer
    x = 12,210.85

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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.