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Finding the Fourth Proportional to 37,754.40, 56,625 and 14,382.24

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Solution

The fourth proportional to 37,754.40, 56,625 and 14,382.24 is: 21,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754.40 : 56,625 = 14,382.24 : x
  2. Step 2: Convert to fraction form
    37,754.40/56,625 = 14,382.24/x
  3. Step 3: Cross multiply
    37,754.40x = 56,625 × 14,382.24
  4. Step 4: Simplify right side
    37,754.40x = 814,394,340
  5. Step 5: Solve for x
    x = 814,394,340/37,754.40
  6. Step 6: Final answer
    x = 21,570.85

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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.