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Finding the Fourth Proportional to 37,383.36, 56,074.32 and 9,680.64

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Solution

The fourth proportional to 37,383.36, 56,074.32 and 9,680.64 is: 14,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,383.36 : 56,074.32 = 9,680.64 : x
  2. Step 2: Convert to fraction form
    37,383.36/56,074.32 = 9,680.64/x
  3. Step 3: Cross multiply
    37,383.36x = 56,074.32 × 9,680.64
  4. Step 4: Simplify right side
    37,383.36x = 542,835,305.16
  5. Step 5: Solve for x
    x = 542,835,305.16/37,383.36
  6. Step 6: Final answer
    x = 14,520.77

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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.