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Finding the Fourth Proportional to 32,171.50, 48,276.69 and 13,703.50

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Solution

The fourth proportional to 32,171.50, 48,276.69 and 13,703.50 is: 20,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.50 : 48,276.69 = 13,703.50 : x
  2. Step 2: Convert to fraction form
    32,171.50/48,276.69 = 13,703.50/x
  3. Step 3: Cross multiply
    32,171.50x = 48,276.69 × 13,703.50
  4. Step 4: Simplify right side
    32,171.50x = 661,559,621.42
  5. Step 5: Solve for x
    x = 661,559,621.42/32,171.50
  6. Step 6: Final answer
    x = 20,563.53

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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.