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Finding the Fourth Proportional to 35,625.56, 49,164.72 and 19,709.75

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Solution

The fourth proportional to 35,625.56, 49,164.72 and 19,709.75 is: 27,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,625.56 : 49,164.72 = 19,709.75 : x
  2. Step 2: Convert to fraction form
    35,625.56/49,164.72 = 19,709.75/x
  3. Step 3: Cross multiply
    35,625.56x = 49,164.72 × 19,709.75
  4. Step 4: Simplify right side
    35,625.56x = 969,024,340.02
  5. Step 5: Solve for x
    x = 969,024,340.02/35,625.56
  6. Step 6: Final answer
    x = 27,200.26

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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.