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Finding the Fourth Proportional to 32,014.60, 47,996.30 and 13,531.40

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Solution

The fourth proportional to 32,014.60, 47,996.30 and 13,531.40 is: 20,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.60 : 47,996.30 = 13,531.40 : x
  2. Step 2: Convert to fraction form
    32,014.60/47,996.30 = 13,531.40/x
  3. Step 3: Cross multiply
    32,014.60x = 47,996.30 × 13,531.40
  4. Step 4: Simplify right side
    32,014.60x = 649,457,133.82
  5. Step 5: Solve for x
    x = 649,457,133.82/32,014.60
  6. Step 6: Final answer
    x = 20,286.28

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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.