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Finding the Fourth Proportional to 37,752.40, 56,622 and 14,380.24

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Solution

The fourth proportional to 37,752.40, 56,622 and 14,380.24 is: 21,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752.40 : 56,622 = 14,380.24 : x
  2. Step 2: Convert to fraction form
    37,752.40/56,622 = 14,380.24/x
  3. Step 3: Cross multiply
    37,752.40x = 56,622 × 14,380.24
  4. Step 4: Simplify right side
    37,752.40x = 814,237,949.28
  5. Step 5: Solve for x
    x = 814,237,949.28/37,752.40
  6. Step 6: Final answer
    x = 21,567.85

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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.