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Finding the Fourth Proportional to 32,142.45, 48,221.33 and 13,412.08

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Solution

The fourth proportional to 32,142.45, 48,221.33 and 13,412.08 is: 20,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.45 : 48,221.33 = 13,412.08 : x
  2. Step 2: Convert to fraction form
    32,142.45/48,221.33 = 13,412.08/x
  3. Step 3: Cross multiply
    32,142.45x = 48,221.33 × 13,412.08
  4. Step 4: Simplify right side
    32,142.45x = 646,748,328.88
  5. Step 5: Solve for x
    x = 646,748,328.88/32,142.45
  6. Step 6: Final answer
    x = 20,121.31

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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.