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Finding the Fourth Proportional to 35,529.50, 49,025.13 and 20,419.25

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Solution

The fourth proportional to 35,529.50, 49,025.13 and 20,419.25 is: 28,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,529.50 : 49,025.13 = 20,419.25 : x
  2. Step 2: Convert to fraction form
    35,529.50/49,025.13 = 20,419.25/x
  3. Step 3: Cross multiply
    35,529.50x = 49,025.13 × 20,419.25
  4. Step 4: Simplify right side
    35,529.50x = 1,001,056,385.75
  5. Step 5: Solve for x
    x = 1,001,056,385.75/35,529.50
  6. Step 6: Final answer
    x = 28,175.36

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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.