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Finding the Fourth Proportional to 39,723.24, 54,811.98 and 22,953

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Solution

The fourth proportional to 39,723.24, 54,811.98 and 22,953 is: 31,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,723.24 : 54,811.98 = 22,953 : x
  2. Step 2: Convert to fraction form
    39,723.24/54,811.98 = 22,953/x
  3. Step 3: Cross multiply
    39,723.24x = 54,811.98 × 22,953
  4. Step 4: Simplify right side
    39,723.24x = 1,258,099,376.94
  5. Step 5: Solve for x
    x = 1,258,099,376.94/39,723.24
  6. Step 6: Final answer
    x = 31,671.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.