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Finding the Fourth Proportional to 37,732.92, 56,601.32 and 9,653.22

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Solution

The fourth proportional to 37,732.92, 56,601.32 and 9,653.22 is: 14,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732.92 : 56,601.32 = 9,653.22 : x
  2. Step 2: Convert to fraction form
    37,732.92/56,601.32 = 9,653.22/x
  3. Step 3: Cross multiply
    37,732.92x = 56,601.32 × 9,653.22
  4. Step 4: Simplify right side
    37,732.92x = 546,384,935.57
  5. Step 5: Solve for x
    x = 546,384,935.57/37,732.92
  6. Step 6: Final answer
    x = 14,480.32

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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.