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Finding the Fourth Proportional to 30,227.81, 45,341.64 and 8,041.19

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Solution

The fourth proportional to 30,227.81, 45,341.64 and 8,041.19 is: 12,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.81 : 45,341.64 = 8,041.19 : x
  2. Step 2: Convert to fraction form
    30,227.81/45,341.64 = 8,041.19/x
  3. Step 3: Cross multiply
    30,227.81x = 45,341.64 × 8,041.19
  4. Step 4: Simplify right side
    30,227.81x = 364,600,515.44
  5. Step 5: Solve for x
    x = 364,600,515.44/30,227.81
  6. Step 6: Final answer
    x = 12,061.76

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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.