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Finding the Fourth Proportional to 30,527.73, 45,791.13 and 8,341.08

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Solution

The fourth proportional to 30,527.73, 45,791.13 and 8,341.08 is: 12,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.73 : 45,791.13 = 8,341.08 : x
  2. Step 2: Convert to fraction form
    30,527.73/45,791.13 = 8,341.08/x
  3. Step 3: Cross multiply
    30,527.73x = 45,791.13 × 8,341.08
  4. Step 4: Simplify right side
    30,527.73x = 381,947,478.62
  5. Step 5: Solve for x
    x = 381,947,478.62/30,527.73
  6. Step 6: Final answer
    x = 12,511.49

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Why These Related Problems?

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