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Finding the Fourth Proportional to 37,728.64, 56,592.32 and 13,104

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Solution

The fourth proportional to 37,728.64, 56,592.32 and 13,104 is: 19,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728.64 : 56,592.32 = 13,104 : x
  2. Step 2: Convert to fraction form
    37,728.64/56,592.32 = 13,104/x
  3. Step 3: Cross multiply
    37,728.64x = 56,592.32 × 13,104
  4. Step 4: Simplify right side
    37,728.64x = 741,585,761.28
  5. Step 5: Solve for x
    x = 741,585,761.28/37,728.64
  6. Step 6: Final answer
    x = 19,655.78

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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.