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Finding the Fourth Proportional to 35,704.86, 53,545.77 and 13,517.34

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Solution

The fourth proportional to 35,704.86, 53,545.77 and 13,517.34 is: 20,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.86 : 53,545.77 = 13,517.34 : x
  2. Step 2: Convert to fraction form
    35,704.86/53,545.77 = 13,517.34/x
  3. Step 3: Cross multiply
    35,704.86x = 53,545.77 × 13,517.34
  4. Step 4: Simplify right side
    35,704.86x = 723,796,378.65
  5. Step 5: Solve for x
    x = 723,796,378.65/35,704.86
  6. Step 6: Final answer
    x = 20,271.65

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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.