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Finding the Fourth Proportional to 32,153.41, 48,241.72 and 17,144.74

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Solution

The fourth proportional to 32,153.41, 48,241.72 and 17,144.74 is: 25,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.41 : 48,241.72 = 17,144.74 : x
  2. Step 2: Convert to fraction form
    32,153.41/48,241.72 = 17,144.74/x
  3. Step 3: Cross multiply
    32,153.41x = 48,241.72 × 17,144.74
  4. Step 4: Simplify right side
    32,153.41x = 827,091,746.55
  5. Step 5: Solve for x
    x = 827,091,746.55/32,153.41
  6. Step 6: Final answer
    x = 25,723.30

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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.