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Finding the Fourth Proportional to 36,080.28, 49,779.72 and 20,970

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Solution

The fourth proportional to 36,080.28, 49,779.72 and 20,970 is: 28,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,080.28 : 49,779.72 = 20,970 : x
  2. Step 2: Convert to fraction form
    36,080.28/49,779.72 = 20,970/x
  3. Step 3: Cross multiply
    36,080.28x = 49,779.72 × 20,970
  4. Step 4: Simplify right side
    36,080.28x = 1,043,880,728.40
  5. Step 5: Solve for x
    x = 1,043,880,728.40/36,080.28
  6. Step 6: Final answer
    x = 28,932.17

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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.