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Finding the Fourth Proportional to 30,370.91, 45,557.43 and 8,184.82

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Solution

The fourth proportional to 30,370.91, 45,557.43 and 8,184.82 is: 12,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370.91 : 45,557.43 = 8,184.82 : x
  2. Step 2: Convert to fraction form
    30,370.91/45,557.43 = 8,184.82/x
  3. Step 3: Cross multiply
    30,370.91x = 45,557.43 × 8,184.82
  4. Step 4: Simplify right side
    30,370.91x = 372,879,250.32
  5. Step 5: Solve for x
    x = 372,879,250.32/30,370.91
  6. Step 6: Final answer
    x = 12,277.51

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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.