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Finding the Fourth Proportional to 32,553.20, 48,829.80 and 19,431.20

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Solution

The fourth proportional to 32,553.20, 48,829.80 and 19,431.20 is: 29,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.20 : 48,829.80 = 19,431.20 : x
  2. Step 2: Convert to fraction form
    32,553.20/48,829.80 = 19,431.20/x
  3. Step 3: Cross multiply
    32,553.20x = 48,829.80 × 19,431.20
  4. Step 4: Simplify right side
    32,553.20x = 948,821,609.76
  5. Step 5: Solve for x
    x = 948,821,609.76/32,553.20
  6. Step 6: Final answer
    x = 29,146.80

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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.