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Finding the Fourth Proportional to 37,650.52, 56,453.64 and 14,278.60

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Solution

The fourth proportional to 37,650.52, 56,453.64 and 14,278.60 is: 21,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,650.52 : 56,453.64 = 14,278.60 : x
  2. Step 2: Convert to fraction form
    37,650.52/56,453.64 = 14,278.60/x
  3. Step 3: Cross multiply
    37,650.52x = 56,453.64 × 14,278.60
  4. Step 4: Simplify right side
    37,650.52x = 806,078,944.10
  5. Step 5: Solve for x
    x = 806,078,944.10/37,650.52
  6. Step 6: Final answer
    x = 21,409.50

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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.