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Finding the Fourth Proportional to 36,022.96, 49,706.58 and 20,917

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Solution

The fourth proportional to 36,022.96, 49,706.58 and 20,917 is: 28,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022.96 : 49,706.58 = 20,917 : x
  2. Step 2: Convert to fraction form
    36,022.96/49,706.58 = 20,917/x
  3. Step 3: Cross multiply
    36,022.96x = 49,706.58 × 20,917
  4. Step 4: Simplify right side
    36,022.96x = 1,039,712,533.86
  5. Step 5: Solve for x
    x = 1,039,712,533.86/36,022.96
  6. Step 6: Final answer
    x = 28,862.50

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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.