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Finding the Fourth Proportional to 35,577.30, 49,093.92 and 20,470.80

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Solution

The fourth proportional to 35,577.30, 49,093.92 and 20,470.80 is: 28,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,577.30 : 49,093.92 = 20,470.80 : x
  2. Step 2: Convert to fraction form
    35,577.30/49,093.92 = 20,470.80/x
  3. Step 3: Cross multiply
    35,577.30x = 49,093.92 × 20,470.80
  4. Step 4: Simplify right side
    35,577.30x = 1,004,991,817.54
  5. Step 5: Solve for x
    x = 1,004,991,817.54/35,577.30
  6. Step 6: Final answer
    x = 28,248.12

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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.