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Finding the Fourth Proportional to 32,157.26, 48,237.17 and 8,783.63

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Solution

The fourth proportional to 32,157.26, 48,237.17 and 8,783.63 is: 13,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.26 : 48,237.17 = 8,783.63 : x
  2. Step 2: Convert to fraction form
    32,157.26/48,237.17 = 8,783.63/x
  3. Step 3: Cross multiply
    32,157.26x = 48,237.17 × 8,783.63
  4. Step 4: Simplify right side
    32,157.26x = 423,697,453.53
  5. Step 5: Solve for x
    x = 423,697,453.53/32,157.26
  6. Step 6: Final answer
    x = 13,175.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.