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Finding the Fourth Proportional to 28,767.08, 43,121.40 and 21,827

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Solution

The fourth proportional to 28,767.08, 43,121.40 and 21,827 is: 32,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,767.08 : 43,121.40 = 21,827 : x
  2. Step 2: Convert to fraction form
    28,767.08/43,121.40 = 21,827/x
  3. Step 3: Cross multiply
    28,767.08x = 43,121.40 × 21,827
  4. Step 4: Simplify right side
    28,767.08x = 941,210,797.80
  5. Step 5: Solve for x
    x = 941,210,797.80/28,767.08
  6. Step 6: Final answer
    x = 32,718.33

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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.