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Finding the Fourth Proportional to 32,202.77, 44,438.58 and 17,863.20

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Solution

The fourth proportional to 32,202.77, 44,438.58 and 17,863.20 is: 24,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202.77 : 44,438.58 = 17,863.20 : x
  2. Step 2: Convert to fraction form
    32,202.77/44,438.58 = 17,863.20/x
  3. Step 3: Cross multiply
    32,202.77x = 44,438.58 × 17,863.20
  4. Step 4: Simplify right side
    32,202.77x = 793,815,242.26
  5. Step 5: Solve for x
    x = 793,815,242.26/32,202.77
  6. Step 6: Final answer
    x = 24,650.53

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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.