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Finding the Fourth Proportional to 35,202.50, 48,567.49 and 20,084.30

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Solution

The fourth proportional to 35,202.50, 48,567.49 and 20,084.30 is: 27,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,202.50 : 48,567.49 = 20,084.30 : x
  2. Step 2: Convert to fraction form
    35,202.50/48,567.49 = 20,084.30/x
  3. Step 3: Cross multiply
    35,202.50x = 48,567.49 × 20,084.30
  4. Step 4: Simplify right side
    35,202.50x = 975,444,039.41
  5. Step 5: Solve for x
    x = 975,444,039.41/35,202.50
  6. Step 6: Final answer
    x = 27,709.51

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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.