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Finding the Fourth Proportional to 30,569.24, 45,855.23 and 8,382.13

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Solution

The fourth proportional to 30,569.24, 45,855.23 and 8,382.13 is: 12,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,569.24 : 45,855.23 = 8,382.13 : x
  2. Step 2: Convert to fraction form
    30,569.24/45,855.23 = 8,382.13/x
  3. Step 3: Cross multiply
    30,569.24x = 45,855.23 × 8,382.13
  4. Step 4: Simplify right side
    30,569.24x = 384,364,342.49
  5. Step 5: Solve for x
    x = 384,364,342.49/30,569.24
  6. Step 6: Final answer
    x = 12,573.56

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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.