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Finding the Fourth Proportional to 32,157.16, 44,385.78 and 20,977

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Solution

The fourth proportional to 32,157.16, 44,385.78 and 20,977 is: 28,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.16 : 44,385.78 = 20,977 : x
  2. Step 2: Convert to fraction form
    32,157.16/44,385.78 = 20,977/x
  3. Step 3: Cross multiply
    32,157.16x = 44,385.78 × 20,977
  4. Step 4: Simplify right side
    32,157.16x = 931,080,507.06
  5. Step 5: Solve for x
    x = 931,080,507.06/32,157.16
  6. Step 6: Final answer
    x = 28,954.07

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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.