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Finding the Fourth Proportional to 32,209.50, 44,433.99 and 22,783.26

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Solution

The fourth proportional to 32,209.50, 44,433.99 and 22,783.26 is: 31,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.50 : 44,433.99 = 22,783.26 : x
  2. Step 2: Convert to fraction form
    32,209.50/44,433.99 = 22,783.26/x
  3. Step 3: Cross multiply
    32,209.50x = 44,433.99 × 22,783.26
  4. Step 4: Simplify right side
    32,209.50x = 1,012,351,147.01
  5. Step 5: Solve for x
    x = 1,012,351,147.01/32,209.50
  6. Step 6: Final answer
    x = 31,430.20

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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.