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Finding the Fourth Proportional to 35,788.92, 53,704.50 and 13,620.96

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Solution

The fourth proportional to 35,788.92, 53,704.50 and 13,620.96 is: 20,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.92 : 53,704.50 = 13,620.96 : x
  2. Step 2: Convert to fraction form
    35,788.92/53,704.50 = 13,620.96/x
  3. Step 3: Cross multiply
    35,788.92x = 53,704.50 × 13,620.96
  4. Step 4: Simplify right side
    35,788.92x = 731,506,846.32
  5. Step 5: Solve for x
    x = 731,506,846.32/35,788.92
  6. Step 6: Final answer
    x = 20,439.48

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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.